13612152000 has 224 divisors, whose sum is σ = 46165129920. Its totient is φ = 3531571200.

The previous prime is 13612151999. The next prime is 13612152017. The reversal of 13612152000 is 25121631.

It is a super-2 number, since 2×13612152000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880336 + ... + 895664.

It is an arithmetic number, because the mean of its divisors is an integer number (206094330).

Almost surely, 2^13612152000 is an apocalyptic number.

13612152000 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 13612152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23082564960).

13612152000 is an abundant number, since it is smaller than the sum of its proper divisors (32552977920).

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

13612152000 is a wasteful number, since it uses less digits than its factorization.

13612152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15396 (or 15376 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 13612152000 its reverse (25121631), we get a palindrome (13637273631).

The spelling of 13612152000 in words is "thirteen billion, six hundred twelve million, one hundred fifty-two thousand".