137208960 has 384 divisors, whose sum is σ = 561375360. Its totient is φ = 30228480.

The previous prime is 137208949. The next prime is 137208977. The reversal of 137208960 is 69802731.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1653079 + ... + 1653161.

It is an arithmetic number, because the mean of its divisors is an integer number (1461915).

Almost surely, 2^137208960 is an apocalyptic number.

137208960 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 137208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280687680).

137208960 is an abundant number, since it is smaller than the sum of its proper divisors (424166400).

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

137208960 is a wasteful number, since it uses less digits than its factorization.

137208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 137208960 is about 11713.6228383878. The cubic root of 137208960 is about 515.7756370898.

The spelling of 137208960 in words is "one hundred thirty-seven million, two hundred eight thousand, nine hundred sixty".