130687920 has 240 divisors, whose sum is σ = 496173600. Its totient is φ = 30535680.

The previous prime is 130687913. The next prime is 130687927. The reversal of 130687920 is 29786031.

It is an interprime number because it is at equal distance from previous prime (130687913) and next prime (130687927).

It is a tau number, because it is divible by the number of its divisors (240).

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 (130687927) 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, 229396 + ... + 229964.

It is an arithmetic number, because the mean of its divisors is an integer number (2067390).

Almost surely, 2^130687920 is an apocalyptic number.

130687920 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 130687920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248086800).

130687920 is an abundant number, since it is smaller than the sum of its proper divisors (365485680).

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

130687920 is a wasteful number, since it uses less digits than its factorization.

130687920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 130687920 is about 11431.8817348676. The cubic root of 130687920 is about 507.4716850259.

The spelling of 130687920 in words is "one hundred thirty million, six hundred eighty-seven thousand, nine hundred twenty".