138261097989120 has 704 divisors, whose sum is σ = 455789618380800. Its totient is φ = 35751555366912.

The previous prime is 138261097989073. The next prime is 138261097989191. The reversal of 138261097989120 is 21989790162831.

138261097989120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138261097989120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79781359774 + ... + 79781361506.

It is an arithmetic number, because the mean of its divisors is an integer number (647428435200).

Almost surely, 2^{138261097989120} is an apocalyptic number.

138261097989120 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 138261097989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227894809190400).

138261097989120 is an abundant number, since it is smaller than the sum of its proper divisors (317528520391680).

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

138261097989120 is a wasteful number, since it uses less digits than its factorization.

138261097989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 66.

The spelling of 138261097989120 in words is "one hundred thirty-eight trillion, two hundred sixty-one billion, ninety-seven million, nine hundred eighty-nine thousand, one hundred twenty".