13134400 has 42 divisors (see below), whose sum is σ = 32322770. Its totient is φ = 5253120.

The previous prime is 13134397. The next prime is 13134409. The reversal of 13134400 is 443131.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 13133376 = 32^2 + 3624^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13134409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2505 + ... + 5704.

Almost surely, 2^13134400 is an apocalyptic number.

13134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13134400 is an abundant number, since it is smaller than the sum of its proper divisors (19188370).

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

13134400 is an equidigital number, since it uses as much as digits as its factorization.

13134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8231 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13134400 is about 3624.1412775994. The cubic root of 13134400 is about 235.9409983692.

Adding to 13134400 its reverse (443131), we get a palindrome (13577531).

The spelling of 13134400 in words is "thirteen million, one hundred thirty-four thousand, four hundred".