13646152000 has 112 divisors (see below), whose sum is σ = 36394564752. Its totient is φ = 5038540800.

The previous prime is 13646151983. The next prime is 13646152033. The reversal of 13646152000 is 25164631.

It can be written as a sum of positive squares in 8 ways, for example, as 2518433856 + 11127718144 = 50184^2 + 105488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13646152000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38394 + ... + 169606.

It is an arithmetic number, because the mean of its divisors is an integer number (324951471).

Almost surely, 2^13646152000 is an apocalyptic number.

13646152000 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 13646152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18197282376).

13646152000 is an abundant number, since it is smaller than the sum of its proper divisors (22748412752).

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

13646152000 is a wasteful number, since it uses less digits than its factorization.

13646152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131253 (or 131233 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 13646152000 in words is "thirteen billion, six hundred forty-six million, one hundred fifty-two thousand".