138556800 has 288 divisors, whose sum is σ = 525334680. Its totient is φ = 34652160.

The previous prime is 138556709. The next prime is 138556801. The reversal of 138556800 is 8655831.

138556800 is a `hidden beast` number, since 13 + 85 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138556801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489459 + ... + 489741.

Almost surely, 2^138556800 is an apocalyptic number.

138556800 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 138556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262667340).

138556800 is an abundant number, since it is smaller than the sum of its proper divisors (386777880).

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

138556800 is a wasteful number, since it uses less digits than its factorization.

138556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 138556800 is about 11771.0152493317. The cubic root of 138556800 is about 517.4590039638.

It can be divided in two parts, 1385 and 56800, that added together give a palindrome (58185).

The spelling of 138556800 in words is "one hundred thirty-eight million, five hundred fifty-six thousand, eight hundred".