137136800 has 144 divisors (see below), whose sum is σ = 355336632. Its totient is φ = 51609600.

The previous prime is 137136793. The next prime is 137136803. The reversal of 137136800 is 8631731.

It can be written as a sum of positive squares in 12 ways, for example, as 2298256 + 134838544 = 1516^2 + 11612^2 .

It is not an unprimeable number, because it can be changed into a prime (137136803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1213544 + ... + 1213656.

Almost surely, 2^137136800 is an apocalyptic number.

137136800 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 137136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177668316).

137136800 is an abundant number, since it is smaller than the sum of its proper divisors (218199832).

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

137136800 is a wasteful number, since it uses less digits than its factorization.

137136800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 137136800 is about 11710.5422590075. The cubic root of 137136800 is about 515.6852035000.

The spelling of 137136800 in words is "one hundred thirty-seven million, one hundred thirty-six thousand, eight hundred".