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137354037 = 3972112237
BaseRepresentation
bin10000010111111…
…01101100110101
3100120110022022120
420023331230311
5240130312122
621343550153
73255330042
oct1013755465
9316408276
10137354037
1170595137
1239bbb359
13225c1ba2
14143561c9
15c0d275c
hex82fdb35

137354037 has 16 divisors (see below), whose sum is σ = 185986752. Its totient is φ = 90155520.

The previous prime is 137354029. The next prime is 137354057. The reversal of 137354037 is 730453731.

It is a happy number.

It is not a de Polignac number, because 137354037 - 23 = 137354029 is a prime.

It is a super-2 number, since 2×1373540372 = 37732262960394738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137353989 and 137354007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137354057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60283 + ... + 62519.

It is an arithmetic number, because the mean of its divisors is an integer number (11624172).

Almost surely, 2137354037 is an apocalyptic number.

It is an amenable number.

137354037 is a deficient number, since it is larger than the sum of its proper divisors (48632715).

137354037 is a wasteful number, since it uses less digits than its factorization.

137354037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548.

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 137354037 is about 11719.8138637096. The cubic root of 137354037 is about 515.9573570613.

The spelling of 137354037 in words is "one hundred thirty-seven million, three hundred fifty-four thousand, thirty-seven".

Divisors: 1 3 97 211 291 633 2237 6711 20467 61401 216989 472007 650967 1416021 45784679 137354037