13530152000 has 56 divisors (see below), whose sum is σ = 33507441240. Its totient is φ = 5412057600.

The previous prime is 13530151963. The next prime is 13530152029. The reversal of 13530152000 is 25103531.

It can be written as a sum of positive squares in 4 ways, for example, as 50013184 + 13480138816 = 7072^2 + 116104^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 837635 + ... + 853634.

It is an arithmetic number, because the mean of its divisors is an integer number (598347165).

Almost surely, 2^13530152000 is an apocalyptic number.

13530152000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13530152000 is an abundant number, since it is smaller than the sum of its proper divisors (19977289240).

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

13530152000 is an equidigital number, since it uses as much as digits as its factorization.

13530152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691296 (or 1691276 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 13530152000 its reverse (25103531), we get a palindrome (13555255531).

The spelling of 13530152000 in words is "thirteen billion, five hundred thirty million, one hundred fifty-two thousand".