13045161400 has 96 divisors (see below), whose sum is σ = 30845057040. Its totient is φ = 5130178560.

The previous prime is 13045161391. The next prime is 13045161403. The reversal of 13045161400 is 416154031.

13045161400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13045161403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3043659 + ... + 3047941.

Almost surely, 2^13045161400 is an apocalyptic number.

13045161400 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 13045161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422528520).

13045161400 is an abundant number, since it is smaller than the sum of its proper divisors (17799895640).

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

13045161400 is a wasteful number, since it uses less digits than its factorization.

13045161400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 13045161400 in words is "thirteen billion, forty-five million, one hundred sixty-one thousand, four hundred".