137144224025540 has 24 divisors (see below), whose sum is σ = 304944215775192. Its totient is φ = 51630766691840.

The previous prime is 137144224025539. The next prime is 137144224025569. The reversal of 137144224025540 is 45520422441731.

It can be written as a sum of positive squares in 4 ways, for example, as 49014449065024 + 88129774960516 = 7001032^2 + 9387746^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137144224025491 and 137144224025500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201682682051 + ... + 201682682730.

It is an arithmetic number, because the mean of its divisors is an integer number (12706008990633).

Almost surely, 2^{137144224025540} is an apocalyptic number.

137144224025540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137144224025540 is an abundant number, since it is smaller than the sum of its proper divisors (167799991749652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137144224025540 is a wasteful number, since it uses less digits than its factorization.

137144224025540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403365364807 (or 403365364805 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 44.

The spelling of 137144224025540 in words is "one hundred thirty-seven trillion, one hundred forty-four billion, two hundred twenty-four million, twenty-five thousand, five hundred forty".