130354996320 has 1152 divisors, whose sum is σ = 519673190400. Its totient is φ = 29546643456.

The previous prime is 130354996307. The next prime is 130354996327. The reversal of 130354996320 is 23699453031.

130354996320 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 5 + 4 + 9 + 9 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130354996327) 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 191 ways as a sum of consecutive naturals, for example, 1464662836 + ... + 1464662924.

It is an arithmetic number, because the mean of its divisors is an integer number (451105200).

Almost surely, 2^130354996320 is an apocalyptic number.

130354996320 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 130354996320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259836595200).

130354996320 is an abundant number, since it is smaller than the sum of its proper divisors (389318194080).

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

130354996320 is a wasteful number, since it uses less digits than its factorization.

130354996320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 130354996320 in words is "one hundred thirty billion, three hundred fifty-four million, nine hundred ninety-six thousand, three hundred twenty".