130042920 has 256 divisors, whose sum is σ = 477757440. Its totient is φ = 27675648.

The previous prime is 130042919. The next prime is 130042921. The reversal of 130042920 is 29240031.

It is an interprime number because it is at equal distance from previous prime (130042919) and next prime (130042921).

It is a super-2 number, since 2×130042920² = 33822322084252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (130042921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1023897 + ... + 1024023.

It is an arithmetic number, because the mean of its divisors is an integer number (1866240).

Almost surely, 2^130042920 is an apocalyptic number.

130042920 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 130042920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238878720).

130042920 is an abundant number, since it is smaller than the sum of its proper divisors (347714520).

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

130042920 is a wasteful number, since it uses less digits than its factorization.

130042920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 130042920 is about 11403.6362621753. The cubic root of 130042920 is about 506.6354455215.

Adding to 130042920 its reverse (29240031), we get a palindrome (159282951).

The spelling of 130042920 in words is "one hundred thirty million, forty-two thousand, nine hundred twenty".