13972852152 has 288 divisors, whose sum is σ = 46664326800. Its totient is φ = 3759436800.

The previous prime is 13972852139. The next prime is 13972852163. The reversal of 13972852152 is 25125827931.

13972852152 is a `hidden beast` number, since 1 + 3 + 9 + 72 + 8 + 521 + 52 = 666.

It is a super-2 number, since 2×13972852152² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13972852098 and 13972852107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4193127 + ... + 4196457.

Almost surely, 2^13972852152 is an apocalyptic number.

13972852152 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 13972852152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23332163400).

13972852152 is an abundant number, since it is smaller than the sum of its proper divisors (32691474648).

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

13972852152 is a wasteful number, since it uses less digits than its factorization.

13972852152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3413 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 13972852152 in words is "thirteen billion, nine hundred seventy-two million, eight hundred fifty-two thousand, one hundred fifty-two".