137212800 has 96 divisors (see below), whose sum is σ = 451976280. Its totient is φ = 36587520.

The previous prime is 137212799. The next prime is 137212807. The reversal of 137212800 is 8212731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137212807) 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 11 ways as a sum of consecutive naturals, for example, 2454 + ... + 16746.

Almost surely, 2^137212800 is an apocalyptic number.

137212800 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 137212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225988140).

137212800 is an abundant number, since it is smaller than the sum of its proper divisors (314763480).

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

137212800 is a wasteful number, since it uses less digits than its factorization.

137212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14320 (or 14303 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 137212800 is about 11713.7867489553. The cubic root of 137212800 is about 515.7804486317.

The spelling of 137212800 in words is "one hundred thirty-seven million, two hundred twelve thousand, eight hundred".