130102272 has 132 divisors (see below), whose sum is σ = 395971680. Its totient is φ = 41029632.

The previous prime is 130102267. The next prime is 130102277. The reversal of 130102272 is 272201031.

It is an interprime number because it is at equal distance from previous prime (130102267) and next prime (130102277).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130102277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174733 + ... + 175475.

Almost surely, 2^130102272 is an apocalyptic number.

130102272 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 130102272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197985840).

130102272 is an abundant number, since it is smaller than the sum of its proper divisors (265869408).

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

130102272 is a wasteful number, since it uses less digits than its factorization.

130102272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 130102272 is about 11406.2382931447. The cubic root of 130102272 is about 506.7125104718.

The spelling of 130102272 in words is "one hundred thirty million, one hundred two thousand, two hundred seventy-two".