137930400 has 108 divisors (see below), whose sum is σ = 486402462. Its totient is φ = 36779520.

The previous prime is 137930381. The next prime is 137930447. The reversal of 137930400 is 4039731.

It can be written as a sum of positive squares in 3 ways, for example, as 61402896 + 76527504 = 7836^2 + 8748^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2379 + ... + 16778.

Almost surely, 2^137930400 is an apocalyptic number.

137930400 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 137930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243201231).

137930400 is an abundant number, since it is smaller than the sum of its proper divisors (348472062).

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

137930400 is a wasteful number, since it uses less digits than its factorization.

137930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19183 (or 19167 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 137930400 is about 11744.3773781329. The cubic root of 137930400 is about 516.6780342047.

The spelling of 137930400 in words is "one hundred thirty-seven million, nine hundred thirty thousand, four hundred".