138562099200 has 1728 divisors, whose sum is σ = 618077940480. Its totient is φ = 30098718720.

The previous prime is 138562099147. The next prime is 138562099213. The reversal of 138562099200 is 2990265831.

138562099200 is a `hidden beast` number, since 1 + 385 + 62 + 0 + 9 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3222374379 + ... + 3222374421.

Almost surely, 2^138562099200 is an apocalyptic number.

138562099200 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 138562099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309038970240).

138562099200 is an abundant number, since it is smaller than the sum of its proper divisors (479515841280).

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

138562099200 is an equidigital number, since it uses as much as digits as its factorization.

138562099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 138562099200 in words is "one hundred thirty-eight billion, five hundred sixty-two million, ninety-nine thousand, two hundred".