137268456 has 64 divisors (see below), whose sum is σ = 375883200. Its totient is φ = 41515008.

The previous prime is 137268437. The next prime is 137268457. The reversal of 137268456 is 654862731.

It is not an unprimeable number, because it can be changed into a prime (137268457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14680 + ... + 22136.

It is an arithmetic number, because the mean of its divisors is an integer number (5873175).

Almost surely, 2^137268456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137268456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187941600).

137268456 is an abundant number, since it is smaller than the sum of its proper divisors (238614744).

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

137268456 is a wasteful number, since it uses less digits than its factorization.

137268456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7538 (or 7534 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 137268456 is about 11716.1621702672. The cubic root of 137268456 is about 515.8501758395.

The spelling of 137268456 in words is "one hundred thirty-seven million, two hundred sixty-eight thousand, four hundred fifty-six".