13145275440 has 600 divisors, whose sum is σ = 51403294800. Its totient is φ = 3005291520.

The previous prime is 13145275427. The next prime is 13145275441. The reversal of 13145275440 is 4457254131.

13145275440 is a `hidden beast` number, since 1 + 3 + 145 + 2 + 75 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13145275395 and 13145275404.

It is not an unprimeable number, because it can be changed into a prime (13145275441) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 305704059 + ... + 305704101.

It is an arithmetic number, because the mean of its divisors is an integer number (85672158).

Almost surely, 2^13145275440 is an apocalyptic number.

13145275440 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 13145275440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25701647400).

13145275440 is an abundant number, since it is smaller than the sum of its proper divisors (38258019360).

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

13145275440 is a wasteful number, since it uses less digits than its factorization.

13145275440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 13145275440 in words is "thirteen billion, one hundred forty-five million, two hundred seventy-five thousand, four hundred forty".