130774107672 has 144 divisors (see below), whose sum is σ = 385535030400. Its totient is φ = 40026804480.

The previous prime is 130774107671. The next prime is 130774107677. The reversal of 130774107672 is 276701477031.

It is a happy number.

130774107672 is a `hidden beast` number, since 1 + 30 + 77 + 410 + 76 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130774107671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2295954 + ... + 2352222.

It is an arithmetic number, because the mean of its divisors is an integer number (2677326600).

Almost surely, 2^130774107672 is an apocalyptic number.

130774107672 is a gapful number since it is divisible by the number (12) 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 130774107672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192767515200).

130774107672 is an abundant number, since it is smaller than the sum of its proper divisors (254760922728).

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

130774107672 is a wasteful number, since it uses less digits than its factorization.

130774107672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56498 (or 56478 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 130774107672 in words is "one hundred thirty billion, seven hundred seventy-four million, one hundred seven thousand, six hundred seventy-two".