137982400 has 42 divisors (see below), whose sum is σ = 339526880. Its totient is φ = 55192320.

The previous prime is 137982331. The next prime is 137982401. The reversal of 137982400 is 4289731.

137982400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137982401) 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 5 ways as a sum of consecutive naturals, for example, 41520 + ... + 44719.

Almost surely, 2^137982400 is an apocalyptic number.

137982400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137982400 is an abundant number, since it is smaller than the sum of its proper divisors (201544480).

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

137982400 is an equidigital number, since it uses as much as digits as its factorization.

137982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86261 (or 86246 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 137982400 is about 11746.5909948376. The cubic root of 137982400 is about 516.7429555519.

The spelling of 137982400 in words is "one hundred thirty-seven million, nine hundred eighty-two thousand, four hundred".