130045454400 has 336 divisors, whose sum is σ = 449868706560. Its totient is φ = 32798361600.

The previous prime is 130045454389. The next prime is 130045454401. The reversal of 130045454400 is 4454540031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (130045454401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99498547 + ... + 99499853.

It is an arithmetic number, because the mean of its divisors is an integer number (1338894960).

Almost surely, 2^130045454400 is an apocalyptic number.

130045454400 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 130045454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224934353280).

130045454400 is an abundant number, since it is smaller than the sum of its proper divisors (319823252160).

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

130045454400 is a wasteful number, since it uses less digits than its factorization.

130045454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 130045454400 its reverse (4454540031), we get a palindrome (134499994431).

The spelling of 130045454400 in words is "one hundred thirty billion, forty-five million, four hundred fifty-four thousand, four hundred".