13538500 has 24 divisors (see below), whose sum is σ = 29569176. Its totient is φ = 5415200.

The previous prime is 13538471. The next prime is 13538519. The reversal of 13538500 is 583531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10816 + 13527684 = 104^2 + 3678^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13039 + ... + 14038.

It is an arithmetic number, because the mean of its divisors is an integer number (1232049).

Almost surely, 2^13538500 is an apocalyptic number.

13538500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13538500 is an abundant number, since it is smaller than the sum of its proper divisors (16030676).

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

13538500 is a wasteful number, since it uses less digits than its factorization.

13538500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27096 (or 27084 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 13538500 is about 3679.4700705400. The cubic root of 13538500 is about 238.3362945932.

The spelling of 13538500 in words is "thirteen million, five hundred thirty-eight thousand, five hundred".