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134960496 = 243112191223
BaseRepresentation
bin10000000101101…
…01010101110000
3100101221200222220
420002311111300
5234022213441
621220401040
73226100556
oct1002652560
9311850886
10134960496
116a1aa900
1239246180
1321c645a8
1413cd1bd6
15bcad466
hex80b5570

134960496 has 120 divisors (see below), whose sum is σ = 403724160. Its totient is φ = 38712960.

The previous prime is 134960489. The next prime is 134960509. The reversal of 134960496 is 694069431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109741 + ... + 110963.

It is an arithmetic number, because the mean of its divisors is an integer number (3364368).

Almost surely, 2134960496 is an apocalyptic number.

134960496 is a gapful number since it is divisible by the number (16) 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 134960496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201862080).

134960496 is an abundant number, since it is smaller than the sum of its proper divisors (268763664).

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

134960496 is a wasteful number, since it uses less digits than its factorization.

134960496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 134960496 is about 11617.2499327509. The cubic root of 134960496 is about 512.9427414254.

The spelling of 134960496 in words is "one hundred thirty-four million, nine hundred sixty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 121 132 152 176 209 228 242 264 304 363 418 456 484 528 627 726 836 912 968 1223 1254 1452 1672 1936 2299 2446 2508 2904 3344 3669 4598 4892 5016 5808 6897 7338 9196 9784 10032 13453 13794 14676 18392 19568 23237 26906 27588 29352 36784 40359 46474 53812 55176 58704 69711 80718 92948 107624 110352 139422 147983 161436 185896 215248 255607 278844 295966 322872 371792 443949 511214 557688 591932 645744 766821 887898 1022428 1115376 1183864 1533642 1775796 2044856 2367728 2811677 3067284 3551592 4089712 5623354 6134568 7103184 8435031 11246708 12269136 16870062 22493416 33740124 44986832 67480248 134960496