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137534397 = 3711133271
BaseRepresentation
bin10000011001010…
…01101110111101
3100120210110201120
420030221232331
5240202100042
621351501153
73260010630
oct1014515675
9316713646
10137534397
11706a86a0
123a0877b9
1322656000
14143a1c17
15c11adec
hex8329bbd

137534397 has 64 divisors (see below), whose sum is σ = 248586240. Its totient is φ = 65707200.

The previous prime is 137534393. The next prime is 137534399. The reversal of 137534397 is 793435731.

It is not a de Polignac number, because 137534397 - 22 = 137534393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137534393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507372 + ... + 507642.

It is an arithmetic number, because the mean of its divisors is an integer number (3884160).

Almost surely, 2137534397 is an apocalyptic number.

It is an amenable number.

137534397 is a deficient number, since it is larger than the sum of its proper divisors (111051843).

137534397 is a wasteful number, since it uses less digits than its factorization.

137534397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 305 counting only the distinct ones).

The product of its digits is 238140, while the sum is 42.

The square root of 137534397 is about 11727.5060008512. The cubic root of 137534397 is about 516.1830933387.

The spelling of 137534397 in words is "one hundred thirty-seven million, five hundred thirty-four thousand, three hundred ninety-seven".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 169 231 271 273 429 507 813 1001 1183 1859 1897 2197 2981 3003 3523 3549 5577 5691 6591 8943 10569 13013 15379 20867 24167 24661 38753 39039 45799 46137 62601 72501 73983 116259 137397 169169 271271 320593 503789 507507 595387 813813 961779 1511367 1786161 3526523 4167709 6549257 10579569 12503127 19647771 45844799 137534397