138512563200 has 1584 divisors, whose sum is σ = 585404531712. Its totient is φ = 30965760000.

The previous prime is 138512563129. The next prime is 138512563223. The reversal of 138512563200 is 2365215831.

138512563200 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 12 + 5 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3221222379 + ... + 3221222421.

It is an arithmetic number, because the mean of its divisors is an integer number (369573568).

Almost surely, 2^138512563200 is an apocalyptic number.

138512563200 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 138512563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292702265856).

138512563200 is an abundant number, since it is smaller than the sum of its proper divisors (446891968512).

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

138512563200 is a wasteful number, since it uses less digits than its factorization.

138512563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 138512563200 in words is "one hundred thirty-eight billion, five hundred twelve million, five hundred sixty-three thousand, two hundred".