138562800 has 60 divisors (see below), whose sum is σ = 443866680. Its totient is φ = 36949760.

The previous prime is 138562771. The next prime is 138562807. The reversal of 138562800 is 8265831.

It is a happy number.

138562800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138562807) 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, 56535 + ... + 58934.

It is an arithmetic number, because the mean of its divisors is an integer number (7397778).

Almost surely, 2^138562800 is an apocalyptic number.

138562800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138562800 is an abundant number, since it is smaller than the sum of its proper divisors (305303880).

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

138562800 is a wasteful number, since it uses less digits than its factorization.

138562800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115490 (or 115479 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 138562800 is about 11771.2701098904. The cubic root of 138562800 is about 517.4664731249.

The spelling of 138562800 in words is "one hundred thirty-eight million, five hundred sixty-two thousand, eight hundred".