130545930240 has 936 divisors, whose sum is σ = 517691382624. Its totient is φ = 30169497600.

The previous prime is 130545930233. The next prime is 130545930241. The reversal of 130545930240 is 42039545031.

130545930240 is a `hidden beast` number, since 1 + 3 + 0 + 545 + 93 + 0 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 130545930195 and 130545930204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130545930241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1948446687 + ... + 1948446753.

It is an arithmetic number, because the mean of its divisors is an integer number (553089084).

Almost surely, 2^130545930240 is an apocalyptic number.

130545930240 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 130545930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258845691312).

130545930240 is an abundant number, since it is smaller than the sum of its proper divisors (387145452384).

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

130545930240 is a wasteful number, since it uses less digits than its factorization.

130545930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 130545930240 in words is "one hundred thirty billion, five hundred forty-five million, nine hundred thirty thousand, two hundred forty".