137371400 has 72 divisors (see below), whose sum is σ = 327135870. Its totient is φ = 53637120.

The previous prime is 137371397. The next prime is 137371427. The reversal of 137371400 is 4173731.

It can be written as a sum of positive squares in 9 ways, for example, as 7365796 + 130005604 = 2714^2 + 11402^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 137371400.

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, 1416152 + ... + 1416248.

Almost surely, 2^137371400 is an apocalyptic number.

137371400 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 137371400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163567935).

137371400 is an abundant number, since it is smaller than the sum of its proper divisors (189764470).

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

137371400 is an equidigital number, since it uses as much as digits as its factorization.

137371400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 137371400 is about 11720.5545943867. The cubic root of 137371400 is about 515.9790969639.

The spelling of 137371400 in words is "one hundred thirty-seven million, three hundred seventy-one thousand, four hundred".