137730656 has 48 divisors (see below), whose sum is σ = 312792480. Its totient is φ = 58475520.

The previous prime is 137730643. The next prime is 137730689. The reversal of 137730656 is 656037731.

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 7 ways as a sum of consecutive naturals, for example, 21596 + ... + 27236.

It is an arithmetic number, because the mean of its divisors is an integer number (6516510).

Almost surely, 2^137730656 is an apocalyptic number.

137730656 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 137730656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

137730656 is an abundant number, since it is smaller than the sum of its proper divisors (175061824).

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

137730656 is a wasteful number, since it uses less digits than its factorization.

137730656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 38.

The square root of 137730656 is about 11735.8704832662. The cubic root of 137730656 is about 516.4285045014.

The spelling of 137730656 in words is "one hundred thirty-seven million, seven hundred thirty thousand, six hundred fifty-six".