13461500 has 96 divisors (see below), whose sum is σ = 33633600. Its totient is φ = 4665600.

The previous prime is 13461493. The next prime is 13461551. The reversal of 13461500 is 516431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123446 + ... + 123554.

It is an arithmetic number, because the mean of its divisors is an integer number (350350).

Almost surely, 2^13461500 is an apocalyptic number.

13461500 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 13461500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16816800).

13461500 is an abundant number, since it is smaller than the sum of its proper divisors (20172100).

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

13461500 is a wasteful number, since it uses less digits than its factorization.

13461500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 13461500 is about 3668.9916870988. The cubic root of 13461500 is about 237.8835906484.

Adding to 13461500 its reverse (516431), we get a palindrome (13977931).

The spelling of 13461500 in words is "thirteen million, four hundred sixty-one thousand, five hundred".