138194271072 has 1152 divisors, whose sum is σ = 522717511680. Its totient is φ = 35271936000.

The previous prime is 138194271067. The next prime is 138194271113. The reversal of 138194271072 is 270172491831.

138194271072 is a `hidden beast` number, since 138 + 19 + 427 + 10 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 654949047 + ... + 654949257.

It is an arithmetic number, because the mean of its divisors is an integer number (453747840).

Almost surely, 2^138194271072 is an apocalyptic number.

138194271072 is a gapful number since it is divisible by the number (12) 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 138194271072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261358755840).

138194271072 is an abundant number, since it is smaller than the sum of its proper divisors (384523240608).

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

138194271072 is a wasteful number, since it uses less digits than its factorization.

138194271072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 138194271072 in words is "one hundred thirty-eight billion, one hundred ninety-four million, two hundred seventy-one thousand, seventy-two".