137814160 has 120 divisors (see below), whose sum is σ = 368101440. Its totient is φ = 47857920.

The previous prime is 137814139. The next prime is 137814169. The reversal of 137814160 is 61418731.

It is not an unprimeable number, because it can be changed into a prime (137814169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222331 + ... + 222949.

It is an arithmetic number, because the mean of its divisors is an integer number (3067512).

Almost surely, 2^137814160 is an apocalyptic number.

137814160 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 137814160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184050720).

137814160 is an abundant number, since it is smaller than the sum of its proper divisors (230287280).

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

137814160 is a wasteful number, since it uses less digits than its factorization.

137814160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 137814160 is about 11739.4275840008. The cubic root of 137814160 is about 516.5328509965.

The spelling of 137814160 in words is "one hundred thirty-seven million, eight hundred fourteen thousand, one hundred sixty".