130741128 has 320 divisors, whose sum is σ = 463478400. Its totient is φ = 33592320.

The previous prime is 130741103. The next prime is 130741133. The reversal of 130741128 is 821147031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3188788 + ... + 3188828.

It is an arithmetic number, because the mean of its divisors is an integer number (1448370).

Almost surely, 2^130741128 is an apocalyptic number.

130741128 is a gapful number since it is divisible by the number (18) 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 130741128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231739200).

130741128 is an abundant number, since it is smaller than the sum of its proper divisors (332737272).

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

130741128 is a wasteful number, since it uses less digits than its factorization.

130741128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 130741128 is about 11434.2086739748. The cubic root of 130741128 is about 507.5405459933.

Adding to 130741128 its reverse (821147031), we get a palindrome (951888159).

The spelling of 130741128 in words is "one hundred thirty million, seven hundred forty-one thousand, one hundred twenty-eight".