13534500 has 96 divisors (see below), whose sum is σ = 45077760. Its totient is φ = 3091200.

The previous prime is 13534483. The next prime is 13534501. The reversal of 13534500 is 543531.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13534501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9856 + ... + 11144.

It is an arithmetic number, because the mean of its divisors is an integer number (469560).

Almost surely, 2^13534500 is an apocalyptic number.

13534500 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 13534500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22538880).

13534500 is an abundant number, since it is smaller than the sum of its proper divisors (31543260).

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

13534500 is a wasteful number, since it uses less digits than its factorization.

13534500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 13534500 is about 3678.9264738508. The cubic root of 13534500 is about 238.3128198340.

The spelling of 13534500 in words is "thirteen million, five hundred thirty-four thousand, five hundred".