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137200637 = 7231412203
BaseRepresentation
bin10000010110110…
…00001111111101
3100120011111220002
420023120033331
5240110410022
621340404045
73254120600
oct1013301775
9316144802
10137200637
117049a962
1239b46625
132256a112
1414316337
15c0a2092
hex82d83fd

137200637 has 24 divisors (see below), whose sum is σ = 168844032. Its totient is φ = 110980800.

The previous prime is 137200633. The next prime is 137200639. The reversal of 137200637 is 736002731.

It is not a de Polignac number, because 137200637 - 22 = 137200633 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137200633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61178 + ... + 63380.

It is an arithmetic number, because the mean of its divisors is an integer number (7035168).

Almost surely, 2137200637 is an apocalyptic number.

It is an amenable number.

137200637 is a deficient number, since it is larger than the sum of its proper divisors (31643395).

137200637 is a wasteful number, since it uses less digits than its factorization.

137200637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 137200637 is about 11713.2675628964. The cubic root of 137200637 is about 515.7652080152.

The spelling of 137200637 in words is "one hundred thirty-seven million, two hundred thousand, six hundred thirty-seven".

Divisors: 1 7 31 41 49 217 287 1271 1519 2009 2203 8897 15421 62279 68293 90323 107947 478051 632261 2800013 3346357 4425827 19600091 137200637