137384520 has 256 divisors, whose sum is σ = 530288640. Its totient is φ = 27675648.

The previous prime is 137384491. The next prime is 137384539. The reversal of 137384520 is 25483731.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250887 + ... + 251433.

It is an arithmetic number, because the mean of its divisors is an integer number (2071440).

Almost surely, 2^137384520 is an apocalyptic number.

137384520 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 137384520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265144320).

137384520 is an abundant number, since it is smaller than the sum of its proper divisors (392904120).

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

137384520 is a wasteful number, since it uses less digits than its factorization.

137384520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 137384520 is about 11721.1142815007. The cubic root of 137384520 is about 515.9955230667.

The spelling of 137384520 in words is "one hundred thirty-seven million, three hundred eighty-four thousand, five hundred twenty".