138254194176 has 160 divisors (see below), whose sum is σ = 421170900480. Its totient is φ = 39479033856.

The previous prime is 138254194151. The next prime is 138254194207. The reversal of 138254194176 is 671491452831.

It is a super-2 number, since 2×138254194176² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34501165 + ... + 34505171.

It is an arithmetic number, because the mean of its divisors is an integer number (2632318128).

Almost surely, 2^138254194176 is an apocalyptic number.

138254194176 is a gapful number since it is divisible by the number (16) 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 138254194176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210585450240).

138254194176 is an abundant number, since it is smaller than the sum of its proper divisors (282916706304).

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

138254194176 is an equidigital number, since it uses as much as digits as its factorization.

138254194176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7244 (or 7228 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The spelling of 138254194176 in words is "one hundred thirty-eight billion, two hundred fifty-four million, one hundred ninety-four thousand, one hundred seventy-six".