130954936560 has 320 divisors, whose sum is σ = 470849863680. Its totient is φ = 29489771520.

The previous prime is 130954936531. The next prime is 130954936561. The reversal of 130954936560 is 65639459031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130954936561) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 60097551 + ... + 60099729.

It is an arithmetic number, because the mean of its divisors is an integer number (1471405824).

Almost surely, 2^130954936560 is an apocalyptic number.

130954936560 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 130954936560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235424931840).

130954936560 is an abundant number, since it is smaller than the sum of its proper divisors (339894927120).

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

130954936560 is a wasteful number, since it uses less digits than its factorization.

130954936560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 51.

The spelling of 130954936560 in words is "one hundred thirty billion, nine hundred fifty-four million, nine hundred thirty-six thousand, five hundred sixty".