13542400 has 99 divisors (see below), whose sum is σ = 35091721. Its totient is φ = 5181440.

The previous prime is 13542379. The next prime is 13542413. The reversal of 13542400 is 424531.

The square root of 13542400 is 3680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4875264 + 8667136 = 2208^2 + 2944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 588789 + ... + 588811.

Almost surely, 2^13542400 is an apocalyptic number.

13542400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13542400 is the 3680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13542400

13542400 is an abundant number, since it is smaller than the sum of its proper divisors (21549321).

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

13542400 is an equidigital number, since it uses as much as digits as its factorization.

13542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The cubic root of 13542400 is about 238.3591780320.

Adding to 13542400 its reverse (424531), we get a palindrome (13966931).

The spelling of 13542400 in words is "thirteen million, five hundred forty-two thousand, four hundred".