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135398337800 = 235211292122231
BaseRepresentation
bin111111000011001011…
…1101010110100001000
3110221111010212012220212
41332012113222310020
54204243433302200
6142111240140252
712532203611345
oct1760627526410
9427433765825
10135398337800
1152470917230
12222a8767688
13c9ca41225b
1467a641b7cc
1537c6c51035
hex1f865ead08

135398337800 has 96 divisors (see below), whose sum is σ = 355261636800. Its totient is φ = 47537952000.

The previous prime is 135398337799. The next prime is 135398337821. The reversal of 135398337800 is 8733893531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 997316 + ... + 1124915.

It is an arithmetic number, because the mean of its divisors is an integer number (3700642050).

Almost surely, 2135398337800 is an apocalyptic number.

135398337800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135398337800 is an abundant number, since it is smaller than the sum of its proper divisors (219863299000).

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

135398337800 is a wasteful number, since it uses less digits than its factorization.

135398337800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122287 (or 2122278 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 135398337800 in words is "one hundred thirty-five billion, three hundred ninety-eight million, three hundred thirty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 145 200 220 232 275 290 319 440 550 580 638 725 1100 1160 1276 1450 1595 2200 2552 2900 3190 5800 6380 7975 12760 15950 31900 63800 2122231 4244462 8488924 10611155 16977848 21222310 23344541 42444620 46689082 53055775 61544699 84889240 93378164 106111550 116722705 123089398 186756328 212223100 233445410 246178796 307723495 424446200 466890820 492357592 583613525 615446990 676991689 933781640 1167227050 1230893980 1353983378 1538617475 2334454100 2461787960 2707966756 3077234950 3384958445 4668908200 5415933512 6154469900 6769916890 12308939800 13539833780 16924792225 27079667560 33849584450 67699168900 135398337800