13590000 has 150 divisors (see below), whose sum is σ = 47840936. Its totient is φ = 3600000.

The previous prime is 13589993. The next prime is 13590019. The reversal of 13590000 is 9531.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89925 + ... + 90075.

Almost surely, 2^13590000 is an apocalyptic number.

13590000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23920468).

13590000 is an abundant number, since it is smaller than the sum of its proper divisors (34250936).

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

13590000 is a wasteful number, since it uses less digits than its factorization.

13590000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 13590000 is about 3686.4617182334. The cubic root of 13590000 is about 238.6381199623.

Adding to 13590000 its reverse (9531), we get a palindrome (13599531).

The spelling of 13590000 in words is "thirteen million, five hundred ninety thousand".