137251220256 has 48 divisors (see below), whose sum is σ = 400316061600. Its totient is φ = 45750406464.

The previous prime is 137251220231. The next prime is 137251220261. The reversal of 137251220256 is 652022152731.

137251220256 is a `hidden beast` number, since 1 + 3 + 72 + 512 + 20 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×137251220256² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 137251220256.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79426926 + ... + 79428653.

It is an arithmetic number, because the mean of its divisors is an integer number (8339917950).

Almost surely, 2^137251220256 is an apocalyptic number.

137251220256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137251220256 is an abundant number, since it is smaller than the sum of its proper divisors (263064841344).

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

137251220256 is a wasteful number, since it uses less digits than its factorization.

137251220256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158855598 (or 158855584 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 137251220256 its reverse (652022152731), we get a palindrome (789273372987).

The spelling of 137251220256 in words is "one hundred thirty-seven billion, two hundred fifty-one million, two hundred twenty thousand, two hundred fifty-six".