137638891625 has 32 divisors (see below), whose sum is σ = 173477990400. Its totient is φ = 109019908800.

The previous prime is 137638891601. The next prime is 137638891627. The reversal of 137638891625 is 526198836731.

It is a happy number.

It is not a de Polignac number, because 137638891625 - 2⁶ = 137638891561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137638891627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23963504 + ... + 23969246.

It is an arithmetic number, because the mean of its divisors is an integer number (5421187200).

Almost surely, 2^137638891625 is an apocalyptic number.

It is an amenable number.

137638891625 is a deficient number, since it is larger than the sum of its proper divisors (35839098775).

137638891625 is a wasteful number, since it uses less digits than its factorization.

137638891625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7626 (or 7616 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 59.

The spelling of 137638891625 in words is "one hundred thirty-seven billion, six hundred thirty-eight million, eight hundred ninety-one thousand, six hundred twenty-five".