130461523680 has 192 divisors, whose sum is σ = 434698306560. Its totient is φ = 32821088256.

The previous prime is 130461523669. The next prime is 130461523681. The reversal of 130461523680 is 86325164031.

It is a super-4 number, since 4×130461523680⁴ (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130461523681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724981 + ... + 886859.

It is an arithmetic number, because the mean of its divisors is an integer number (2264053680).

Almost surely, 2^130461523680 is an apocalyptic number.

130461523680 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 130461523680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217349153280).

130461523680 is an abundant number, since it is smaller than the sum of its proper divisors (304236782880).

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

130461523680 is a wasteful number, since it uses less digits than its factorization.

130461523680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161993 (or 161985 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 130461523680 in words is "one hundred thirty billion, four hundred sixty-one million, five hundred twenty-three thousand, six hundred eighty".