130467145536 has 252 divisors, whose sum is σ = 462790409952. Its totient is φ = 34408737792.

The previous prime is 130467145513. The next prime is 130467145537. The reversal of 130467145536 is 635541764031.

130467145536 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 6 + 71 + 45 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 130467145491 and 130467145500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130467145537) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 585675 + ... + 777141.

Almost surely, 2^130467145536 is an apocalyptic number.

130467145536 is a gapful number since it is divisible by the number (16) 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 130467145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231395204976).

130467145536 is an abundant number, since it is smaller than the sum of its proper divisors (332323264416).

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

130467145536 is a wasteful number, since it uses less digits than its factorization.

130467145536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191518 (or 191492 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 130467145536 in words is "one hundred thirty billion, four hundred sixty-seven million, one hundred forty-five thousand, five hundred thirty-six".