13465146540 has 96 divisors (see below), whose sum is σ = 37997858304. Its totient is φ = 3562652160.

The previous prime is 13465146533. The next prime is 13465146553. The reversal of 13465146540 is 4564156431.

It is a super-3 number, since 3×13465146540³ (a number of 31 digits) contains 333 as substring.

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, 8125392 + ... + 8127048.

It is an arithmetic number, because the mean of its divisors is an integer number (395811024).

Almost surely, 2^13465146540 is an apocalyptic number.

13465146540 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 13465146540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998929152).

13465146540 is an abundant number, since it is smaller than the sum of its proper divisors (24532711764).

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

13465146540 is a wasteful number, since it uses less digits than its factorization.

13465146540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 13465146540 in words is "thirteen billion, four hundred sixty-five million, one hundred forty-six thousand, five hundred forty".