130634676 has 72 divisors (see below), whose sum is σ = 344209320. Its totient is φ = 41723136.

The previous prime is 130634663. The next prime is 130634677. The reversal of 130634676 is 676436031.

It is a happy number.

130634676 is a `hidden beast` number, since 1 + 306 + 346 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10732176 + 119902500 = 3276^2 + 10950^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 130634676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130634677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163510 + ... + 164306.

It is an arithmetic number, because the mean of its divisors is an integer number (4780685).

Almost surely, 2^130634676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130634676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172104660).

130634676 is an abundant number, since it is smaller than the sum of its proper divisors (213574644).

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

130634676 is a wasteful number, since it uses less digits than its factorization.

130634676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 130634676 is about 11429.5527471551. The cubic root of 130634676 is about 507.4027587558.

The spelling of 130634676 in words is "one hundred thirty million, six hundred thirty-four thousand, six hundred seventy-six".