13145250400 has 36 divisors (see below), whose sum is σ = 32090844492. Its totient is φ = 5258099840.

The previous prime is 13145250299. The next prime is 13145250401. The reversal of 13145250400 is 405254131.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13145250401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8214982 + ... + 8216581.

It is an arithmetic number, because the mean of its divisors is an integer number (891412347).

Almost surely, 2^13145250400 is an apocalyptic number.

13145250400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13145250400 is an abundant number, since it is smaller than the sum of its proper divisors (18945594092).

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

13145250400 is a wasteful number, since it uses less digits than its factorization.

13145250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16431583 (or 16431570 counting only the distinct ones).

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

The spelling of 13145250400 in words is "thirteen billion, one hundred forty-five million, two hundred fifty thousand, four hundred".