137005752125 has 64 divisors (see below), whose sum is σ = 189672537600. Its totient is φ = 97968960000.

The previous prime is 137005752119. The next prime is 137005752131. The reversal of 137005752125 is 521257500731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137005752119) and next prime (137005752131).

It is not a de Polignac number, because 137005752125 - 2⁴ = 137005752109 is a prime.

It is a super-2 number, since 2×137005752125² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35028920 + ... + 35032830.

It is an arithmetic number, because the mean of its divisors is an integer number (2963633400).

Almost surely, 2^137005752125 is an apocalyptic number.

It is an amenable number.

137005752125 is a deficient number, since it is larger than the sum of its proper divisors (52666785475).

137005752125 is a wasteful number, since it uses less digits than its factorization.

137005752125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 38.

The spelling of 137005752125 in words is "one hundred thirty-seven billion, five million, seven hundred fifty-two thousand, one hundred twenty-five".