130937534778240 has 576 divisors, whose sum is σ = 472226511612960. Its totient is φ = 34714652848128.

The previous prime is 130937534778187. The next prime is 130937534778241. The reversal of 130937534778240 is 42877435739031.

130937534778240 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 3 + 7 + 534 + 7 + 78 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130937534778241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 726343797 + ... + 726524043.

Almost surely, 2^{130937534778240} is an apocalyptic number.

130937534778240 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 130937534778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236113255806480).

130937534778240 is an abundant number, since it is smaller than the sum of its proper divisors (341288976834720).

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

130937534778240 is an frugal number, since it uses more digits than its factorization.

130937534778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180463 (or 180430 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 130937534778240 in words is "one hundred thirty trillion, nine hundred thirty-seven billion, five hundred thirty-four million, seven hundred seventy-eight thousand, two hundred forty".