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134003212272 = 24334728323321
BaseRepresentation
bin111110011001100110…
…1101011111111110000
3110210212220200111111000
41330303031223333300
54143414310243042
6141321001522000
712452503340106
oct1746315537760
9423786614430
10134003212272
1151915357826
1221b794a3300
13c83737c3a7
1466b3017c76
15374452074c
hex1f3336bff0

134003212272 has 160 divisors (see below), whose sum is σ = 394227624960. Its totient is φ = 43561013760.

The previous prime is 134003212241. The next prime is 134003212313. The reversal of 134003212272 is 272212300431.

134003212272 is a `hidden beast` number, since 1 + 3 + 400 + 32 + 1 + 227 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5734372 + ... + 5757692.

It is an arithmetic number, because the mean of its divisors is an integer number (2463922656).

Almost surely, 2134003212272 is an apocalyptic number.

134003212272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134003212272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197113812480).

134003212272 is an abundant number, since it is smaller than the sum of its proper divisors (260224412688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134003212272 is a wasteful number, since it uses less digits than its factorization.

134003212272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23668 (or 23656 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 134003212272 in words is "one hundred thirty-four billion, three million, two hundred twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 283 376 423 432 564 566 752 846 849 1128 1132 1269 1692 1698 2256 2264 2538 2547 3384 3396 4528 5076 5094 6768 6792 7641 10152 10188 13301 13584 15282 20304 20376 23321 26602 30564 39903 40752 46642 53204 61128 69963 79806 93284 106408 119709 122256 139926 159612 186568 209889 212816 239418 279852 319224 359127 373136 419778 478836 559704 629667 638448 718254 839556 957672 1096087 1119408 1259334 1436508 1679112 1915344 2192174 2518668 2873016 3288261 3358224 4384348 5037336 5746032 6576522 6599843 8768696 9864783 10074672 13153044 13199686 17537392 19729566 19799529 26306088 26399372 29594349 39459132 39599058 52612176 52798744 59188698 59398587 78918264 79198116 105597488 118377396 118797174 157836528 158396232 178195761 236754792 237594348 310192621 316792464 356391522 473509584 475188696 620385242 712783044 930577863 950377392 1240770484 1425566088 1861155726 2481540968 2791733589 2851132176 3722311452 4963081936 5583467178 7444622904 8375200767 11166934356 14889245808 16750401534 22333868712 33500803068 44667737424 67001606136 134003212272