138286971552 has 96 divisors (see below), whose sum is σ = 381199658112. Its totient is φ = 43810550784.

The previous prime is 138286971551. The next prime is 138286971583. The reversal of 138286971552 is 255179682831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 138286971492 and 138286971501.

It is not an unprimeable number, because it can be changed into a prime (138286971551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147198 + ... + 546114.

It is an arithmetic number, because the mean of its divisors is an integer number (3970829772).

Almost surely, 2^138286971552 is an apocalyptic number.

138286971552 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 138286971552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190599829056).

138286971552 is an abundant number, since it is smaller than the sum of its proper divisors (242912686560).

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

138286971552 is a wasteful number, since it uses less digits than its factorization.

138286971552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399110 (or 399102 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 57.

The spelling of 138286971552 in words is "one hundred thirty-eight billion, two hundred eighty-six million, nine hundred seventy-one thousand, five hundred fifty-two".