137081200 has 120 divisors (see below), whose sum is σ = 367409520. Its totient is φ = 48844800.

The previous prime is 137081177. The next prime is 137081201. The reversal of 137081200 is 2180731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137081201) 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, 128670 + ... + 129730.

It is an arithmetic number, because the mean of its divisors is an integer number (3061746).

Almost surely, 2^137081200 is an apocalyptic number.

137081200 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 137081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183704760).

137081200 is an abundant number, since it is smaller than the sum of its proper divisors (230328320).

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

137081200 is a wasteful number, since it uses less digits than its factorization.

137081200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 137081200 is about 11708.1680889881. The cubic root of 137081200 is about 515.6155018759.

The spelling of 137081200 in words is "one hundred thirty-seven million, eighty-one thousand, two hundred".