138494174976 has 288 divisors, whose sum is σ = 433131776000. Its totient is φ = 43529674752.

The previous prime is 138494174939. The next prime is 138494174977. The reversal of 138494174976 is 679471494831.

138494174976 is a `hidden beast` number, since 1 + 3 + 8 + 494 + 1 + 74 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138494174977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29283780 + ... + 29288508.

Almost surely, 2^138494174976 is an apocalyptic number.

138494174976 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 138494174976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216565888000).

138494174976 is an abundant number, since it is smaller than the sum of its proper divisors (294637601024).

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

138494174976 is a wasteful number, since it uses less digits than its factorization.

138494174976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4996 (or 4976 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 138494174976 in words is "one hundred thirty-eight billion, four hundred ninety-four million, one hundred seventy-four thousand, nine hundred seventy-six".