138982400 has 132 divisors (see below), whose sum is σ = 354090060. Its totient is φ = 54067200.

The previous prime is 138982391. The next prime is 138982423. The reversal of 138982400 is 4289831.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 45589504 + 93392896 = 6752^2 + 9664^2 .

It is a super-2 number, since 2×138982400² = 38632215019520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1561556 + ... + 1561644.

Almost surely, 2^138982400 is an apocalyptic number.

138982400 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 138982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177045030).

138982400 is an abundant number, since it is smaller than the sum of its proper divisors (215107660).

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

138982400 is an equidigital number, since it uses as much as digits as its factorization.

138982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 138982400 is about 11789.0796926647. The cubic root of 138982400 is about 517.9882825572.

The spelling of 138982400 in words is "one hundred thirty-eight million, nine hundred eighty-two thousand, four hundred".