137642257296 has 120 divisors (see below), whose sum is σ = 408380520704. Its totient is φ = 43200656640.

The previous prime is 137642257253. The next prime is 137642257297. The reversal of 137642257296 is 692752246731.

137642257296 is a `hidden beast` number, since 1 + 3 + 7 + 64 + 2 + 2 + 572 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (137642257297) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 251506 + ... + 581841.

Almost surely, 2^137642257296 is an apocalyptic number.

137642257296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137642257296 is an abundant number, since it is smaller than the sum of its proper divisors (270738263408).

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

137642257296 is a wasteful number, since it uses less digits than its factorization.

137642257296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833429 (or 833420 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

It can be divided in two parts, 13764225 and 7296, that added together give a square (13771521 = 3711²).

The spelling of 137642257296 in words is "one hundred thirty-seven billion, six hundred forty-two million, two hundred fifty-seven thousand, two hundred ninety-six".