137982800 has 30 divisors (see below), whose sum is σ = 331504638. Its totient is φ = 55192960.

The previous prime is 137982799. The next prime is 137982821. The reversal of 137982800 is 8289731.

137982800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 31315216 + 106667584 = 5596^2 + 10328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172079 + ... + 172878.

Almost surely, 2^137982800 is an apocalyptic number.

137982800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137982800 is an abundant number, since it is smaller than the sum of its proper divisors (193521838).

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

137982800 is a wasteful number, since it uses less digits than its factorization.

137982800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344975 (or 344964 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 137982800 is about 11746.6080210416. The cubic root of 137982800 is about 516.7434548837.

The spelling of 137982800 in words is "one hundred thirty-seven million, nine hundred eighty-two thousand, eight hundred".