137088024516 has 81 divisors (see below), whose sum is σ = 362384628879. Its totient is φ = 43692934032.

The previous prime is 137088024487. The next prime is 137088024523. The reversal of 137088024516 is 615420880731.

The square root of 137088024516 is 370254.

It is a perfect power (a square), and thus also a powerful number.

137088024516 is a `hidden beast` number, since 1 + 37 + 0 + 8 + 80 + 24 + 516 = 666.

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 26 ways as a sum of consecutive naturals, for example, 51093711 + ... + 51096393.

Almost surely, 2^137088024516 is an apocalyptic number.

137088024516 is the 370254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137088024516

137088024516 is an abundant number, since it is smaller than the sum of its proper divisors (225296604363).

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

137088024516 is an equidigital number, since it uses as much as digits as its factorization.

137088024516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5422 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 137088024516 in words is "one hundred thirty-seven billion, eighty-eight million, twenty-four thousand, five hundred sixteen".