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137122624 = 262142541
BaseRepresentation
bin10000010110001…
…01001101000000
3100120000112212201
420023011031000
5240100410444
621335002544
73253344262
oct1013051500
9316015781
10137122624
1170447291
1239b09454
1322540762
14142d5b32
15c088dd4
hex82c5340

137122624 has 14 divisors (see below), whose sum is σ = 272102834. Its totient is φ = 68561280.

The previous prime is 137122603. The next prime is 137122637. The reversal of 137122624 is 426221731.

It can be written as a sum of positive squares in only one way, i.e., 100641024 + 36481600 = 10032^2 + 6040^2 .

It is a super-2 number, since 2×1371226242 = 37605228025290752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137122592 and 137122601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1071207 + ... + 1071334.

Almost surely, 2137122624 is an apocalyptic number.

It is an amenable number.

137122624 is a deficient number, since it is larger than the sum of its proper divisors (134980210).

137122624 is an equidigital number, since it uses as much as digits as its factorization.

137122624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142553 (or 2142543 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 137122624 is about 11709.9369767732. The cubic root of 137122624 is about 515.6674338827.

The spelling of 137122624 in words is "one hundred thirty-seven million, one hundred twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 2142541 4285082 8570164 17140328 34280656 68561312 137122624