13135400 has 24 divisors (see below), whose sum is σ = 30540270. Its totient is φ = 5254080.

The previous prime is 13135399. The next prime is 13135433. The reversal of 13135400 is 453131.

It can be written as a sum of positive squares in 3 ways, for example, as 7365796 + 5769604 = 2714^2 + 2402^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32639 + ... + 33038.

Almost surely, 2^13135400 is an apocalyptic number.

13135400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13135400 is an abundant number, since it is smaller than the sum of its proper divisors (17404870).

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

13135400 is a wasteful number, since it uses less digits than its factorization.

13135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65693 (or 65684 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 13135400 is about 3624.2792386901. The cubic root of 13135400 is about 235.9469860812.

Adding to 13135400 its reverse (453131), we get a palindrome (13588531).

The spelling of 13135400 in words is "thirteen million, one hundred thirty-five thousand, four hundred".