138892800 has 120 divisors (see below), whose sum is σ = 458950536. Its totient is φ = 37027840.

The previous prime is 138892799. The next prime is 138892801. The reversal of 138892800 is 8298831.

It is an interprime number because it is at equal distance from previous prime (138892799) and next prime (138892801).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138892801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36592 + ... + 40208.

Almost surely, 2^138892800 is an apocalyptic number.

138892800 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 138892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229475268).

138892800 is an abundant number, since it is smaller than the sum of its proper divisors (320057736).

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

138892800 is an equidigital number, since it uses as much as digits as its factorization.

138892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 138892800 is about 11785.2789529989. The cubic root of 138892800 is about 517.8769453726.

The spelling of 138892800 in words is "one hundred thirty-eight million, eight hundred ninety-two thousand, eight hundred".