138506397120 has 840 divisors, whose sum is σ = 609856483104. Its totient is φ = 29216858112.

The previous prime is 138506397047. The next prime is 138506397137. The reversal of 138506397120 is 21793605831.

138506397120 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 0 + 639 + 7 + 1 + 2 + 0 = 666.

138506397120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30661102 + ... + 30665618.

Almost surely, 2^138506397120 is an apocalyptic number.

138506397120 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 138506397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304928241552).

138506397120 is an abundant number, since it is smaller than the sum of its proper divisors (471350085984).

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

138506397120 is a wasteful number, since it uses less digits than its factorization.

138506397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 138506397120 in words is "one hundred thirty-eight billion, five hundred six million, three hundred ninety-seven thousand, one hundred twenty".