13531500 has 144 divisors (see below), whose sum is σ = 44518656. Its totient is φ = 3456000.

The previous prime is 13531493. The next prime is 13531501. The reversal of 13531500 is 513531.

It is a happy number.

13531500 is a `hidden beast` number, since 135 + 31 + 500 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139452 + ... + 139548.

Almost surely, 2^13531500 is an apocalyptic number.

13531500 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 13531500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22259328).

13531500 is an abundant number, since it is smaller than the sum of its proper divisors (30987156).

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

13531500 is a wasteful number, since it uses less digits than its factorization.

13531500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13531500 is about 3678.5187236169. The cubic root of 13531500 is about 238.2952107291.

The spelling of 13531500 in words is "thirteen million, five hundred thirty-one thousand, five hundred".