130282152 has 384 divisors, whose sum is σ = 482630400. Its totient is φ = 28385280.

The previous prime is 130282129. The next prime is 130282199. The reversal of 130282152 is 251282031.

It is a super-2 number, since 2×130282152² = 33946878259502208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4492474 + ... + 4492502.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^130282152 is an apocalyptic number.

130282152 is a gapful number since it is divisible by the number (12) 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 130282152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200).

130282152 is an abundant number, since it is smaller than the sum of its proper divisors (352348248).

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

130282152 is a wasteful number, since it uses less digits than its factorization.

130282152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 130282152 is about 11414.1207282909. The cubic root of 130282152 is about 506.9459306118.

It can be divided in two parts, 130 and 282152, that added together give a palindrome (282282).

The spelling of 130282152 in words is "one hundred thirty million, two hundred eighty-two thousand, one hundred fifty-two".