138160890000 has 1125 divisors, whose sum is σ = 591287748447. Its totient is φ = 31044384000.

The previous prime is 138160889989. The next prime is 138160890001. The reversal of 138160890000 is 98061831.

The square root of 138160890000 is 371700.

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

It can be written as a sum of positive squares in 2 ways, for example, as 10831813776 + 127329076224 = 104076^2 + 356832^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

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

It is not an unprimeable number, because it can be changed into a prime (138160890001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 2341709971 + ... + 2341710029.

Almost surely, 2^138160890000 is an apocalyptic number.

138160890000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138160890000 is the 371700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138160890000

138160890000 is an abundant number, since it is smaller than the sum of its proper divisors (453126858447).

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

138160890000 is an frugal number, since it uses more digits than its factorization.

138160890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 138160890000 by its sum of digits (36), we get a square (4973792040000 = 2230200²).

138160890000 divided by its sum of digits (36) gives a square (3837802500 = 61950²).

The spelling of 138160890000 in words is "one hundred thirty-eight billion, one hundred sixty million, eight hundred ninety thousand".