137376564 has 48 divisors (see below), whose sum is σ = 348660480. Its totient is φ = 41846400.

The previous prime is 137376553. The next prime is 137376581. The reversal of 137376564 is 465673731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11397 + ... + 20115.

It is an arithmetic number, because the mean of its divisors is an integer number (7263760).

Almost surely, 2^137376564 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 137376564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174330240).

137376564 is an abundant number, since it is smaller than the sum of its proper divisors (211283916).

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

137376564 is a wasteful number, since it uses less digits than its factorization.

137376564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8840 (or 8838 counting only the distinct ones).

The product of its digits is 317520, while the sum is 42.

The square root of 137376564 is about 11720.7748890592. The cubic root of 137376564 is about 515.9855623627.

It can be divided in two parts, 13737 and 6564, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 137376564 in words is "one hundred thirty-seven million, three hundred seventy-six thousand, five hundred sixty-four".