13533140 has 24 divisors (see below), whose sum is σ = 29400840. Its totient is φ = 5226368.

The previous prime is 13533137. The next prime is 13533151. The reversal of 13533140 is 4133531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20164 + 13512976 = 142^2 + 3676^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11087 + ... + 12246.

It is an arithmetic number, because the mean of its divisors is an integer number (1225035).

Almost surely, 2^13533140 is an apocalyptic number.

13533140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13533140 is an abundant number, since it is smaller than the sum of its proper divisors (15867700).

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

13533140 is a wasteful number, since it uses less digits than its factorization.

13533140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23371 (or 23369 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 13533140 is about 3678.7416326782. The cubic root of 13533140 is about 238.3048373622.

Adding to 13533140 its reverse (4133531), we get a palindrome (17666671).

The spelling of 13533140 in words is "thirteen million, five hundred thirty-three thousand, one hundred forty".