138513400 has 24 divisors (see below), whose sum is σ = 322044120. Its totient is φ = 55405280.

The previous prime is 138513379. The next prime is 138513409. The reversal of 138513400 is 4315831.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138513409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 346084 + ... + 346483.

It is an arithmetic number, because the mean of its divisors is an integer number (13418505).

Almost surely, 2^138513400 is an apocalyptic number.

138513400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138513400 is an abundant number, since it is smaller than the sum of its proper divisors (183530720).

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

138513400 is a wasteful number, since it uses less digits than its factorization.

138513400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692583 (or 692574 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 138513400 is about 11769.1715936169. The cubic root of 138513400 is about 517.4049706095.

The spelling of 138513400 in words is "one hundred thirty-eight million, five hundred thirteen thousand, four hundred".