130890760 has 192 divisors, whose sum is σ = 403341120. Its totient is φ = 37578240.

The previous prime is 130890757. The next prime is 130890763. The reversal of 130890760 is 67098031.

It is an interprime number because it is at equal distance from previous prime (130890757) and next prime (130890763).

It is not an unprimeable number, because it can be changed into a prime (130890763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280047 + ... + 280513.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 2^130890760 is an apocalyptic number.

130890760 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 130890760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

130890760 is an abundant number, since it is smaller than the sum of its proper divisors (272450360).

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

130890760 is a wasteful number, since it uses less digits than its factorization.

130890760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 130890760 is about 11440.7499754168. The cubic root of 130890760 is about 507.7340973112.

The spelling of 130890760 in words is "one hundred thirty million, eight hundred ninety thousand, seven hundred sixty".