130097952 has 72 divisors (see below), whose sum is σ = 373860396. Its totient is φ = 42909696.

The previous prime is 130097951. The next prime is 130097953. The reversal of 130097952 is 259790031.

It is an interprime number because it is at equal distance from previous prime (130097951) and next prime (130097953).

It can be written as a sum of positive squares in 2 ways, for example, as 122677776 + 7420176 = 11076^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×130097952² = 33850954229188608, which contains 22 as substring.

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 (130097951) 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, 25608 + ... + 30264.

Almost surely, 2^130097952 is an apocalyptic number.

130097952 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 130097952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186930198).

130097952 is an abundant number, since it is smaller than the sum of its proper divisors (243762444).

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

130097952 is a wasteful number, since it uses less digits than its factorization.

130097952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770 (or 4759 counting only the distinct ones).

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

The square root of 130097952 is about 11406.0489215153. The cubic root of 130097952 is about 506.7069020064.

It can be divided in two parts, 1300979 and 52, that added together give a palindrome (1301031).

The spelling of 130097952 in words is "one hundred thirty million, ninety-seven thousand, nine hundred fifty-two".