137528617516731 has 48 divisors (see below), whose sum is σ = 227157623347200. Its totient is φ = 78544082882304.

The previous prime is 137528617516699. The next prime is 137528617516757. The reversal of 137528617516731 is 137615716825731.

137528617516731 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 2 + 8 + 617 + 5 + 1 + 6 + 7 + 3 + 1 = 666.

It is not a de Polignac number, because 137528617516731 - 2⁵ = 137528617516699 is a prime.

It is a super-2 number, since 2×137528617516731² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (137528617516331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3289429155 + ... + 3289470963.

It is an arithmetic number, because the mean of its divisors is an integer number (4732450486400).

Almost surely, 2^{137528617516731} is an apocalyptic number.

137528617516731 is a deficient number, since it is larger than the sum of its proper divisors (89629005830469).

137528617516731 is a wasteful number, since it uses less digits than its factorization.

137528617516731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69608 (or 69605 counting only the distinct ones).

The product of its digits is 44452800, while the sum is 63.

The spelling of 137528617516731 in words is "one hundred thirty-seven trillion, five hundred twenty-eight billion, six hundred seventeen million, five hundred sixteen thousand, seven hundred thirty-one".