13145520400 has 30 divisors (see below), whose sum is σ = 31582113722. Its totient is φ = 5258208000.

The previous prime is 13145520389. The next prime is 13145520449. The reversal of 13145520400 is 402554131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 554885136 + 12590635264 = 23556^2 + 112208^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16431501 + ... + 16432300.

Almost surely, 2^13145520400 is an apocalyptic number.

13145520400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13145520400 is an abundant number, since it is smaller than the sum of its proper divisors (18436593322).

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

13145520400 is a wasteful number, since it uses less digits than its factorization.

13145520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32863819 (or 32863808 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 13145520400 in words is "thirteen billion, one hundred forty-five million, five hundred twenty thousand, four hundred".