130901448576 has 128 divisors (see below), whose sum is σ = 350068896000. Its totient is φ = 43338240000.

The previous prime is 130901448547. The next prime is 130901448631. The reversal of 130901448576 is 675844109031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58151451 + ... + 58153701.

It is an arithmetic number, because the mean of its divisors is an integer number (2734913250).

Almost surely, 2^130901448576 is an apocalyptic number.

130901448576 is a gapful number since it is divisible by the number (16) 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 130901448576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175034448000).

130901448576 is an abundant number, since it is smaller than the sum of its proper divisors (219167447424).

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

130901448576 is a wasteful number, since it uses less digits than its factorization.

130901448576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 130901448576 in words is "one hundred thirty billion, nine hundred one million, four hundred forty-eight thousand, five hundred seventy-six".