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137126437 = 7172350101
BaseRepresentation
bin10000010110001…
…10001000100101
3100120000202002221
420023012020211
5240101021222
621335032341
73253361350
oct1013061045
9316022087
10137126437
117044a138
1239b0b6b1
1322542406
14142d7297
15c08a0c7
hex82c6225

137126437 has 16 divisors (see below), whose sum is σ = 173152512. Its totient is φ = 105811200.

The previous prime is 137126393. The next prime is 137126447. The reversal of 137126437 is 734621731.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137126437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137126447) 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, 22314 + ... + 27787.

It is an arithmetic number, because the mean of its divisors is an integer number (10822032).

Almost surely, 2137126437 is an apocalyptic number.

137126437 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137126437 is a deficient number, since it is larger than the sum of its proper divisors (36026075).

137126437 is a wasteful number, since it uses less digits than its factorization.

137126437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50148.

The product of its digits is 21168, while the sum is 34.

The square root of 137126437 is about 11710.0997860821. The cubic root of 137126437 is about 515.6722135990.

The spelling of 137126437 in words is "one hundred thirty-seven million, one hundred twenty-six thousand, four hundred thirty-seven".

Divisors: 1 7 17 23 119 161 391 2737 50101 350707 851717 1152323 5962019 8066261 19589491 137126437