130202592 has 216 divisors, whose sum is σ = 412659576. Its totient is φ = 35721216.

The previous prime is 130202591. The next prime is 130202651. The reversal of 130202592 is 295202031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130202591) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6852759 + ... + 6852777.

It is an arithmetic number, because the mean of its divisors is an integer number (1910461).

Almost surely, 2^130202592 is an apocalyptic number.

130202592 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 130202592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206329788).

130202592 is an abundant number, since it is smaller than the sum of its proper divisors (282456984).

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

130202592 is a wasteful number, since it uses less digits than its factorization.

130202592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 130202592 is about 11410.6350392956. The cubic root of 130202592 is about 506.8427165992.

The spelling of 130202592 in words is "one hundred thirty million, two hundred two thousand, five hundred ninety-two".