130245004400 has 120 divisors (see below), whose sum is σ = 359042269824. Its totient is φ = 44477280000.

The previous prime is 130245004333. The next prime is 130245004403. The reversal of 130245004400 is 4400542031.

It is a super-2 number, since 2×130245004400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130245004403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610139 + ... + 795461.

Almost surely, 2^130245004400 is an apocalyptic number.

130245004400 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 130245004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179521134912).

130245004400 is an abundant number, since it is smaller than the sum of its proper divisors (228797265424).

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

130245004400 is a wasteful number, since it uses less digits than its factorization.

130245004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185599 (or 185588 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 130245004400 its reverse (4400542031), we get a palindrome (134645546431).

The spelling of 130245004400 in words is "one hundred thirty billion, two hundred forty-five million, four thousand, four hundred".