138920198400 has 243 divisors, whose sum is σ = 496991082679. Its totient is φ = 37021532160.

The previous prime is 138920198387. The next prime is 138920198437. The reversal of 138920198400 is 4891029831.

The square root of 138920198400 is 372720.

It is a perfect power (a square), and thus also a powerful number.

138920198400 is a `hidden beast` number, since 1 + 38 + 9 + 20 + 198 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44666286336 + 94253912064 = 211344^2 + 307008^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 89452024 + ... + 89453576.

Almost surely, 2^138920198400 is an apocalyptic number.

138920198400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138920198400 is the 372720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138920198400

138920198400 is an abundant number, since it is smaller than the sum of its proper divisors (358070884279).

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

138920198400 is an frugal number, since it uses more digits than its factorization.

138920198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 138920198400 in words is "one hundred thirty-eight billion, nine hundred twenty million, one hundred ninety-eight thousand, four hundred".