137040800 has 72 divisors (see below), whose sum is σ = 360312876. Its totient is φ = 50595840.

The previous prime is 137040763. The next prime is 137040811. The reversal of 137040800 is 8040731.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 34058896 + 102981904 = 5836^2 + 10148^2 .

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, 3812 + ... + 16988.

Almost surely, 2^137040800 is an apocalyptic number.

137040800 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 137040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180156438).

137040800 is an abundant number, since it is smaller than the sum of its proper divisors (223272076).

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

137040800 is a wasteful number, since it uses less digits than its factorization.

137040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13210 (or 13197 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 137040800 is about 11706.4426705981. The cubic root of 137040800 is about 515.5648435483.

The spelling of 137040800 in words is "one hundred thirty-seven million, forty thousand, eight hundred".