137349400 has 48 divisors (see below), whose sum is σ = 323416800. Its totient is φ = 54238080.

The previous prime is 137349389. The next prime is 137349419. The reversal of 137349400 is 4943731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11454 + ... + 20146.

It is an arithmetic number, because the mean of its divisors is an integer number (6737850).

Almost surely, 2^137349400 is an apocalyptic number.

137349400 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 137349400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161708400).

137349400 is an abundant number, since it is smaller than the sum of its proper divisors (186067400).

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

137349400 is a wasteful number, since it uses less digits than its factorization.

137349400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8788 (or 8779 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 137349400 is about 11719.6160346660. The cubic root of 137349400 is about 515.9515508464.

The spelling of 137349400 in words is "one hundred thirty-seven million, three hundred forty-nine thousand, four hundred".