137614976 has 64 divisors (see below), whose sum is σ = 286783200. Its totient is φ = 65694720.

The previous prime is 137614943. The next prime is 137614979. The reversal of 137614976 is 679416731.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (137614979) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 486131 + ... + 486413.

Almost surely, 2^137614976 is an apocalyptic number.

137614976 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 137614976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143391600).

137614976 is an abundant number, since it is smaller than the sum of its proper divisors (149168224).

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

137614976 is a wasteful number, since it uses less digits than its factorization.

137614976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 445 counting only the distinct ones).

The product of its digits is 190512, while the sum is 44.

The square root of 137614976 is about 11730.9409682259. The cubic root of 137614976 is about 516.2838812096.

The spelling of 137614976 in words is "one hundred thirty-seven million, six hundred fourteen thousand, nine hundred seventy-six".