137215760 has 80 divisors (see below), whose sum is σ = 350013312. Its totient is φ = 49612800.

The previous prime is 137215699. The next prime is 137215763. The reversal of 137215760 is 67512731.

137215760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137215763) 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 15 ways as a sum of consecutive naturals, for example, 211757 + ... + 212403.

Almost surely, 2^137215760 is an apocalyptic number.

137215760 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 137215760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175006656).

137215760 is an abundant number, since it is smaller than the sum of its proper divisors (212797552).

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

137215760 is a wasteful number, since it uses less digits than its factorization.

137215760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 137215760 is about 11713.9130951190. The cubic root of 137215760 is about 515.7841574673.

The spelling of 137215760 in words is "one hundred thirty-seven million, two hundred fifteen thousand, seven hundred sixty".