137640037625 has 8 divisors (see below), whose sum is σ = 171774767112. Its totient is φ = 110112030000.

The previous prime is 137640037553. The next prime is 137640037663. The reversal of 137640037625 is 526730046731.

137640037625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13090334569 + 124549703056 = 114413^2 + 352916^2 .

It is not a de Polignac number, because 137640037625 - 2¹⁰ = 137640036601 is a prime.

It is a super-2 number, since 2×137640037625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550560026 + ... + 550560275.

It is an arithmetic number, because the mean of its divisors is an integer number (21471845889).

Almost surely, 2^137640037625 is an apocalyptic number.

It is an amenable number.

137640037625 is a deficient number, since it is larger than the sum of its proper divisors (34134729487).

137640037625 is an equidigital number, since it uses as much as digits as its factorization.

137640037625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101120316 (or 1101120306 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 44.

The spelling of 137640037625 in words is "one hundred thirty-seven billion, six hundred forty million, thirty-seven thousand, six hundred twenty-five".