13152434200 has 96 divisors (see below), whose sum is σ = 32412389760. Its totient is φ = 4946278400.

The previous prime is 13152434179. The next prime is 13152434233. The reversal of 13152434200 is 243425131.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 5074905 + ... + 5077495.

It is an arithmetic number, because the mean of its divisors is an integer number (337629060).

Almost surely, 2^13152434200 is an apocalyptic number.

13152434200 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 13152434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16206194880).

13152434200 is an abundant number, since it is smaller than the sum of its proper divisors (19259955560).

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

13152434200 is a wasteful number, since it uses less digits than its factorization.

13152434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 13152434200 its reverse (243425131), we get a palindrome (13395859331).

The spelling of 13152434200 in words is "thirteen billion, one hundred fifty-two million, four hundred thirty-four thousand, two hundred".