137379564 has 144 divisors (see below), whose sum is σ = 419584256. Its totient is φ = 38491200.

The previous prime is 137379563. The next prime is 137379577. The reversal of 137379564 is 465973731.

137379564 is a `hidden beast` number, since 13 + 7 + 3 + 79 + 564 = 666.

It is not an unprimeable number, because it can be changed into a prime (137379563) 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 47 ways as a sum of consecutive naturals, for example, 414879 + ... + 415209.

Almost surely, 2^137379564 is an apocalyptic number.

137379564 is a gapful number since it is divisible by the number (14) 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 137379564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209792128).

137379564 is an abundant number, since it is smaller than the sum of its proper divisors (282204692).

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

137379564 is a wasteful number, since it uses less digits than its factorization.

137379564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 404 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 137379564 is about 11720.9028662471. The cubic root of 137379564 is about 515.9893183294.

The spelling of 137379564 in words is "one hundred thirty-seven million, three hundred seventy-nine thousand, five hundred sixty-four".