137430352656 has 45 divisors (see below), whose sum is σ = 384626562229. Its totient is φ = 45808634688.

The previous prime is 137430352651. The next prime is 137430352669. The reversal of 137430352656 is 656253034731.

It is a happy number.

The square root of 137430352656 is 370716.

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

137430352656 is a `hidden beast` number, since 1 + 3 + 74 + 3 + 0 + 3 + 526 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52175696400 + 85254656256 = 228420^2 + 291984^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137430352651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4433146 + ... + 4464038.

Almost surely, 2^137430352656 is an apocalyptic number.

137430352656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137430352656 is the 370716-th square number.

It is an amenable number.

137430352656 is an abundant number, since it is smaller than the sum of its proper divisors (247196209573).

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

137430352656 is an frugal number, since it uses more digits than its factorization.

137430352656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61800 (or 30898 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 137430352656 in words is "one hundred thirty-seven billion, four hundred thirty million, three hundred fifty-two thousand, six hundred fifty-six".