138315600 has 180 divisors, whose sum is σ = 498120896. Its totient is φ = 36858240.

The previous prime is 138315581. The next prime is 138315613. The reversal of 138315600 is 6513831.

It is a tau number, because it is divible by the number of its divisors (180).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96489 + ... + 97911.

Almost surely, 2^138315600 is an apocalyptic number.

138315600 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 138315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249060448).

138315600 is an abundant number, since it is smaller than the sum of its proper divisors (359805296).

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

138315600 is a wasteful number, since it uses less digits than its factorization.

138315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 138315600 is about 11760.7652812221. The cubic root of 138315600 is about 517.1585649484.

The spelling of 138315600 in words is "one hundred thirty-eight million, three hundred fifteen thousand, six hundred".