130935719154240 has 6804 divisors, whose sum is σ = 666609306372828. Its totient is φ = 23486661918720.

The previous prime is 130935719154217. The next prime is 130935719154241. The reversal of 130935719154240 is 42451917539031.

130935719154240 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 3 + 5 + 7 + 1 + 91 + 542 + 4 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 99436954788864 + 31498764365376 = 9971808^2 + 5612376^2 .

It is not an unprimeable number, because it can be changed into a prime (130935719154241) by changing a digit.

It is a polite number, since it can be written in 971 ways as a sum of consecutive naturals, for example, 833985472242 + ... + 833985472398.

Almost surely, 2^{130935719154240} is an apocalyptic number.

130935719154240 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 130935719154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333304653186414).

130935719154240 is an abundant number, since it is smaller than the sum of its proper divisors (535673587218588).

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

130935719154240 is a wasteful number, since it uses less digits than its factorization.

130935719154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 130935719154240 in words is "one hundred thirty trillion, nine hundred thirty-five billion, seven hundred nineteen million, one hundred fifty-four thousand, two hundred forty".