137564880 has 80 divisors (see below), whose sum is σ = 428484480. Its totient is φ = 36509184.

The previous prime is 137564879. The next prime is 137564891. The reversal of 137564880 is 88465731.

It is a tau number, because it is divible by the number of its divisors (80).

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, 53709 + ... + 56211.

It is an arithmetic number, because the mean of its divisors is an integer number (5356056).

Almost surely, 2^137564880 is an apocalyptic number.

137564880 is a gapful number since it is divisible by the number (10) 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 137564880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214242240).

137564880 is an abundant number, since it is smaller than the sum of its proper divisors (290919600).

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

137564880 is a wasteful number, since it uses less digits than its factorization.

137564880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 137564880 is about 11728.8055657855. The cubic root of 137564880 is about 516.2212259738.

The spelling of 137564880 in words is "one hundred thirty-seven million, five hundred sixty-four thousand, eight hundred eighty".