13500400 has 30 divisors (see below), whose sum is σ = 32435672. Its totient is φ = 5400000.

The previous prime is 13500373. The next prime is 13500419. The reversal of 13500400 is 400531.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 16476 + ... + 17275.

Almost surely, 2^13500400 is an apocalyptic number.

13500400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13500400 is an abundant number, since it is smaller than the sum of its proper divisors (18935272).

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

13500400 is a wasteful number, since it uses less digits than its factorization.

13500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33769 (or 33758 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 13500400 is about 3674.2890468770. The cubic root of 13500400 is about 238.1125094773.

Adding to 13500400 its reverse (400531), we get a palindrome (13900931).

The spelling of 13500400 in words is "thirteen million, five hundred thousand, four hundred".