13145260032 has 180 divisors, whose sum is σ = 38235156960. Its totient is φ = 4351721472.

The previous prime is 13145260031. The next prime is 13145260049. The reversal of 13145260032 is 23006254131.

13145260032 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 52 + 600 + 3 + 2 = 666.

It is a super-2 number, since 2×13145260032² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13145259978 and 13145260005.

It is not an unprimeable number, because it can be changed into a prime (13145260031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35241798 + ... + 35242170.

Almost surely, 2^13145260032 is an apocalyptic number.

13145260032 is a gapful number since it is divisible by the number (12) 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 13145260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19117578480).

13145260032 is an abundant number, since it is smaller than the sum of its proper divisors (25089896928).

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

13145260032 is an equidigital number, since it uses as much as digits as its factorization.

13145260032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 13145260032 in words is "thirteen billion, one hundred forty-five million, two hundred sixty thousand, thirty-two".