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137117076 = 223231074643
BaseRepresentation
bin10000010110000…
…11110110010100
3100120000021021020
420023003312110
5240100221301
621334521140
73253322145
oct1013036624
9316007236
10137117076
11704430a8
1239b061b0
132253b085
14142d3acc
15c087436
hex82c3d94

137117076 has 48 divisors (see below), whose sum is σ = 337042944. Its totient is φ = 43300576.

The previous prime is 137117069. The next prime is 137117083. The reversal of 137117076 is 670711731.

It is an interprime number because it is at equal distance from previous prime (137117069) and next prime (137117083).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27211 + ... + 31853.

It is an arithmetic number, because the mean of its divisors is an integer number (7021728).

Almost surely, 2137117076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137117076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168521472).

137117076 is an abundant number, since it is smaller than the sum of its proper divisors (199925868).

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

137117076 is a wasteful number, since it uses less digits than its factorization.

137117076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4778 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 33.

The square root of 137117076 is about 11709.7000815563. The cubic root of 137117076 is about 515.6604791308.

The spelling of 137117076 in words is "one hundred thirty-seven million, one hundred seventeen thousand, seventy-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 107 138 214 276 321 428 642 1284 2461 4643 4922 7383 9286 9844 13929 14766 18572 27858 29532 55716 106789 213578 320367 427156 496801 640734 993602 1281468 1490403 1987204 2980806 5961612 11426423 22852846 34279269 45705692 68558538 137117076