138245400 has 96 divisors (see below), whose sum is σ = 476197200. Its totient is φ = 36864000.

The previous prime is 138245383. The next prime is 138245413. The reversal of 138245400 is 4542831.

138245400 is a `hidden beast` number, since 13 + 8 + 245 + 400 = 666.

It is a super-2 number, since 2×138245400² = 38223581242320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7401 + ... + 18200.

Almost surely, 2^138245400 is an apocalyptic number.

138245400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138245400 is an abundant number, since it is smaller than the sum of its proper divisors (337951800).

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

138245400 is a wasteful number, since it uses less digits than its factorization.

138245400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25626 (or 25611 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 138245400 is about 11757.7804027801. The cubic root of 138245400 is about 517.0710581284.

It can be divided in two parts, 13824 and 5400, that multiplied together give a square (74649600 = 8640²).

The spelling of 138245400 in words is "one hundred thirty-eight million, two hundred forty-five thousand, four hundred".