130464576000 has 960 divisors, whose sum is σ = 522810288000. Its totient is φ = 31002624000.

The previous prime is 130464575971. The next prime is 130464576017. The reversal of 130464576000 is 675464031.

It is a happy number.

130464576000 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 6 + 45 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373823826 + ... + 373824174.

It is an arithmetic number, because the mean of its divisors is an integer number (544594050).

Almost surely, 2^130464576000 is an apocalyptic number.

130464576000 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 130464576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261405144000).

130464576000 is an abundant number, since it is smaller than the sum of its proper divisors (392345712000).

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

130464576000 is a wasteful number, since it uses less digits than its factorization.

130464576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 130464576000 in words is "one hundred thirty billion, four hundred sixty-four million, five hundred seventy-six thousand".