130261600 has 108 divisors (see below), whose sum is σ = 370031004. Its totient is φ = 44647680.

The previous prime is 130261583. The next prime is 130261609. The reversal of 130261600 is 6162031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130261609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37539 + ... + 40861.

It is an arithmetic number, because the mean of its divisors is an integer number (3426213).

Almost surely, 2^130261600 is an apocalyptic number.

130261600 is a gapful number since it is divisible by the number (10) 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 130261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185015502).

130261600 is an abundant number, since it is smaller than the sum of its proper divisors (239769404).

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

130261600 is a wasteful number, since it uses less digits than its factorization.

130261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 130261600 is about 11413.2204044257. The cubic root of 130261600 is about 506.9192723154.

The spelling of 130261600 in words is "one hundred thirty million, two hundred sixty-one thousand, six hundred".