13515146040 has 64 divisors (see below), whose sum is σ = 44231391360. Its totient is φ = 3276398720.

The previous prime is 13515146023. The next prime is 13515146041. The reversal of 13515146040 is 4064151531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13515145989 and 13515146007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13515146041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5118054 + ... + 5120693.

It is an arithmetic number, because the mean of its divisors is an integer number (691115490).

Almost surely, 2^13515146040 is an apocalyptic number.

13515146040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13515146040 is an abundant number, since it is smaller than the sum of its proper divisors (30716245320).

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

13515146040 is a wasteful number, since it uses less digits than its factorization.

13515146040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10238772 (or 10238768 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 13515146040 its reverse (4064151531), we get a palindrome (17579297571).

The spelling of 13515146040 in words is "thirteen billion, five hundred fifteen million, one hundred forty-six thousand, forty".