138897225315072 has 864 divisors, whose sum is σ = 481874851046400. Its totient is φ = 39347804160000.

The previous prime is 138897225315071. The next prime is 138897225315077. The reversal of 138897225315072 is 270513522798831.

138897225315072 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 9 + 7 + 22 + 531 + 5 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (138897225315071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30736272429 + ... + 30736276947.

Almost surely, 2^{138897225315072} is an apocalyptic number.

138897225315072 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 138897225315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240937425523200).

138897225315072 is an abundant number, since it is smaller than the sum of its proper divisors (342977625731328).

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

138897225315072 is a wasteful number, since it uses less digits than its factorization.

138897225315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 138897225315072 in words is "one hundred thirty-eight trillion, eight hundred ninety-seven billion, two hundred twenty-five million, three hundred fifteen thousand, seventy-two".