130970952 has 256 divisors, whose sum is σ = 451584000. Its totient is φ = 34338816.

The previous prime is 130970927. The next prime is 130970953. The reversal of 130970952 is 259079031.

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

It is not an unprimeable number, because it can be changed into a prime (130970953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1350168 + ... + 1350264.

It is an arithmetic number, because the mean of its divisors is an integer number (1764000).

Almost surely, 2^130970952 is an apocalyptic number.

130970952 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 130970952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225792000).

130970952 is an abundant number, since it is smaller than the sum of its proper divisors (320613048).

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

130970952 is a wasteful number, since it uses less digits than its factorization.

130970952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 130970952 is about 11444.2541041345. The cubic root of 130970952 is about 507.8377662038.

The spelling of 130970952 in words is "one hundred thirty million, nine hundred seventy thousand, nine hundred fifty-two".