137300400 has 120 divisors (see below), whose sum is σ = 488726160. Its totient is φ = 36610560.

The previous prime is 137300399. The next prime is 137300407. The reversal of 137300400 is 4003731.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (137300407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4444 + ... + 17156.

It is an arithmetic number, because the mean of its divisors is an integer number (4072718).

Almost surely, 2^137300400 is an apocalyptic number.

137300400 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 137300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244363080).

137300400 is an abundant number, since it is smaller than the sum of its proper divisors (351425760).

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

137300400 is a wasteful number, since it uses less digits than its factorization.

137300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12740 (or 12723 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 137300400 is about 11717.5253360085. The cubic root of 137300400 is about 515.8901875568.

The spelling of 137300400 in words is "one hundred thirty-seven million, three hundred thousand, four hundred".