13752156384 has 144 divisors (see below), whose sum is σ = 40102013952. Its totient is φ = 4468303104.

The previous prime is 13752156371. The next prime is 13752156437. The reversal of 13752156384 is 48365125731.

It is a happy number.

13752156384 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 2 + 1 + 5 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3558037 + ... + 3561899.

It is an arithmetic number, because the mean of its divisors is an integer number (278486208).

Almost surely, 2^13752156384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13752156384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20051006976).

13752156384 is an abundant number, since it is smaller than the sum of its proper divisors (26349857568).

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

13752156384 is a wasteful number, since it uses less digits than its factorization.

13752156384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4178 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 13752156384 in words is "thirteen billion, seven hundred fifty-two million, one hundred fifty-six thousand, three hundred eighty-four".