137732317536 has 576 divisors, whose sum is σ = 447366205440. Its totient is φ = 36883123200.

The previous prime is 137732317529. The next prime is 137732317577. The reversal of 137732317536 is 635713237731.

It is a super-2 number, since 2×137732317536² (a number of 23 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218275941 + ... + 218276571.

It is an arithmetic number, because the mean of its divisors is an integer number (776677440).

Almost surely, 2^137732317536 is an apocalyptic number.

137732317536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137732317536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223683102720).

137732317536 is an abundant number, since it is smaller than the sum of its proper divisors (309633887904).

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

137732317536 is a wasteful number, since it uses less digits than its factorization.

137732317536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 732 counting only the distinct ones).

The product of its digits is 1666980, while the sum is 48.

The spelling of 137732317536 in words is "one hundred thirty-seven billion, seven hundred thirty-two million, three hundred seventeen thousand, five hundred thirty-six".