138391891461120 has 704 divisors, whose sum is σ = 493430426099712. Its totient is φ = 32817168384000.

The previous prime is 138391891461037. The next prime is 138391891461139. The reversal of 138391891461120 is 21164198193831.

It is a tau number, because it is divible by the number of its divisors (704).

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, 18351924550 + ... + 18351932090.

Almost surely, 2^{138391891461120} is an apocalyptic number.

138391891461120 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 138391891461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246715213049856).

138391891461120 is an abundant number, since it is smaller than the sum of its proper divisors (355038534638592).

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

138391891461120 is a wasteful number, since it uses less digits than its factorization.

138391891461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9938 (or 9920 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 57.

The spelling of 138391891461120 in words is "one hundred thirty-eight trillion, three hundred ninety-one billion, eight hundred ninety-one million, four hundred sixty-one thousand, one hundred twenty".