13146372 has 36 divisors (see below), whose sum is σ = 35187516. Its totient is φ = 4124160.

The previous prime is 13146361. The next prime is 13146377. The reversal of 13146372 is 27364131.

13146372 is a `hidden beast` number, since 13 + 14 + 637 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 3261636 = 3144^2 + 1806^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (13146377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10129 + ... + 11352.

It is an arithmetic number, because the mean of its divisors is an integer number (977431).

Almost surely, 2^13146372 is an apocalyptic number.

13146372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13146372 is an abundant number, since it is smaller than the sum of its proper divisors (22041144).

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

13146372 is a wasteful number, since it uses less digits than its factorization.

13146372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21508 (or 21503 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 13146372 is about 3625.7926030042. The cubic root of 13146372 is about 236.0126633059.

The spelling of 13146372 in words is "thirteen million, one hundred forty-six thousand, three hundred seventy-two".