137264656 has 45 divisors (see below), whose sum is σ = 278191303. Its totient is φ = 65609600.

The previous prime is 137264651. The next prime is 137264663. The reversal of 137264656 is 656462731.

The square root of 137264656 is 11716.

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

It can be written as a sum of positive squares in 4 ways, for example, as 45104656 + 92160000 = 6716^2 + 9600^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137264651) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1359006 + ... + 1359106.

Almost surely, 2^137264656 is an apocalyptic number.

137264656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137264656 is the 11716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137264656

137264656 is an abundant number, since it is smaller than the sum of its proper divisors (140926647).

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

137264656 is an equidigital number, since it uses as much as digits as its factorization.

137264656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 132 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The cubic root of 137264656 is about 515.8454157055.

The spelling of 137264656 in words is "one hundred thirty-seven million, two hundred sixty-four thousand, six hundred fifty-six".