130045645400000 has 504 divisors, whose sum is σ = 366769868663520. Its totient is φ = 45658412800000.

The previous prime is 130045645399993. The next prime is 130045645400009. The reversal of 130045645400000 is 4546540031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 130045645400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130045645400009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 701707349 + ... + 701892651.

It is an arithmetic number, because the mean of its divisors is an integer number (727717993380).

Almost surely, 2^{130045645400000} is an apocalyptic number.

130045645400000 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 130045645400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183384934331760).

130045645400000 is an abundant number, since it is smaller than the sum of its proper divisors (236724223263520).

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

130045645400000 is an equidigital number, since it uses as much as digits as its factorization.

130045645400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185391 (or 185350 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 130045645400000 in words is "one hundred thirty trillion, forty-five billion, six hundred forty-five million, four hundred thousand".