138167927040 has 1728 divisors, whose sum is σ = 593455548672. Its totient is φ = 26895974400.

The previous prime is 138167926889. The next prime is 138167927111. The reversal of 138167927040 is 40729761831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3369949420 + ... + 3369949460.

It is an arithmetic number, because the mean of its divisors is an integer number (343434924).

Almost surely, 2^138167927040 is an apocalyptic number.

138167927040 is a gapful number since it is divisible by the number (10) 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 138167927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296727774336).

138167927040 is an abundant number, since it is smaller than the sum of its proper divisors (455287621632).

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

138167927040 is a wasteful number, since it uses less digits than its factorization.

138167927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 138167927040 in words is "one hundred thirty-eight billion, one hundred sixty-seven million, nine hundred twenty-seven thousand, forty".