137394315264 has 224 divisors, whose sum is σ = 382586825376. Its totient is φ = 43812126720.

The previous prime is 137394315257. The next prime is 137394315283. The reversal of 137394315264 is 462513493731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 55466794 + ... + 55469270.

It is an arithmetic number, because the mean of its divisors is an integer number (1707976899).

Almost surely, 2^137394315264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137394315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191293412688).

137394315264 is an abundant number, since it is smaller than the sum of its proper divisors (245192510112).

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

137394315264 is an equidigital number, since it uses as much as digits as its factorization.

137394315264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2580 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The spelling of 137394315264 in words is "one hundred thirty-seven billion, three hundred ninety-four million, three hundred fifteen thousand, two hundred sixty-four".