13752146400 has 72 divisors (see below), whose sum is σ = 44763244344. Its totient is φ = 3667238400.

The previous prime is 13752146399. The next prime is 13752146459. The reversal of 13752146400 is 464125731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2862631 + ... + 2867430.

It is an arithmetic number, because the mean of its divisors is an integer number (621711727).

Almost surely, 2^13752146400 is an apocalyptic number.

13752146400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13752146400 is an abundant number, since it is smaller than the sum of its proper divisors (31011097944).

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

13752146400 is a wasteful number, since it uses less digits than its factorization.

13752146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730084 (or 5730071 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

It can be divided in two parts, 137521 and 46400, that added together give a triangular number (183921 = T₆₀₆).

The spelling of 13752146400 in words is "thirteen billion, seven hundred fifty-two million, one hundred forty-six thousand, four hundred".