13145500400 has 120 divisors (see below), whose sum is σ = 32679289344. Its totient is φ = 5076345600.

The previous prime is 13145500391. The next prime is 13145500411. The reversal of 13145500400 is 400554131.

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, 6484187 + ... + 6486213.

Almost surely, 2^13145500400 is an apocalyptic number.

13145500400 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 13145500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16339644672).

13145500400 is an abundant number, since it is smaller than the sum of its proper divisors (19533788944).

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

13145500400 is a wasteful number, since it uses less digits than its factorization.

13145500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The spelling of 13145500400 in words is "thirteen billion, one hundred forty-five million, five hundred thousand, four hundred".