130268736 has 140 divisors (see below), whose sum is σ = 416076892. Its totient is φ = 40061952.

The previous prime is 130268707. The next prime is 130268791. The reversal of 130268736 is 637862031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51840000 + 78428736 = 7200^2 + 8856^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 130268736.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66426 + ... + 68358.

Almost surely, 2^130268736 is an apocalyptic number.

130268736 is a gapful number since it is divisible by the number (16) 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 130268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208038446).

130268736 is an abundant number, since it is smaller than the sum of its proper divisors (285808156).

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

130268736 is a wasteful number, since it uses less digits than its factorization.

130268736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 130268736 is about 11413.5330200600. The cubic root of 130268736 is about 506.9285288420.

The spelling of 130268736 in words is "one hundred thirty million, two hundred sixty-eight thousand, seven hundred thirty-six".