137709754224 has 80 divisors (see below), whose sum is σ = 406847650560. Its totient is φ = 39318935040.

The previous prime is 137709754211. The next prime is 137709754241. The reversal of 137709754224 is 422457907731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359247 + ... + 635985.

It is an arithmetic number, because the mean of its divisors is an integer number (5085595632).

Almost surely, 2^137709754224 is an apocalyptic number.

137709754224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137709754224 is an abundant number, since it is smaller than the sum of its proper divisors (269137896336).

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

137709754224 is a wasteful number, since it uses less digits than its factorization.

137709754224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278238 (or 278232 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 137709754224 in words is "one hundred thirty-seven billion, seven hundred nine million, seven hundred fifty-four thousand, two hundred twenty-four".