137282976 has 72 divisors (see below), whose sum is σ = 392726880. Its totient is φ = 45488256.

The previous prime is 137282953. The next prime is 137283011. The reversal of 137282976 is 679282731.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50221 + ... + 52883.

It is an arithmetic number, because the mean of its divisors is an integer number (5454540).

Almost surely, 2^137282976 is an apocalyptic number.

137282976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137282976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196363440).

137282976 is an abundant number, since it is smaller than the sum of its proper divisors (255443904).

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

137282976 is a wasteful number, since it uses less digits than its factorization.

137282976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2847 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 137282976 is about 11716.7818107192. The cubic root of 137282976 is about 515.8683637532.

It can be divided in two parts, 1372 and 82976, that added together give a palindrome (84348).

The spelling of 137282976 in words is "one hundred thirty-seven million, two hundred eighty-two thousand, nine hundred seventy-six".