130165152 has 144 divisors (see below), whose sum is σ = 378520128. Its totient is φ = 39137280.

The previous prime is 130165111. The next prime is 130165153. The reversal of 130165152 is 251561031.

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

It is not an unprimeable number, because it can be changed into a prime (130165153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151848 + ... + 1151960.

It is an arithmetic number, because the mean of its divisors is an integer number (2628612).

Almost surely, 2^130165152 is an apocalyptic number.

130165152 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 130165152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189260064).

130165152 is an abundant number, since it is smaller than the sum of its proper divisors (248354976).

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

130165152 is a wasteful number, since it uses less digits than its factorization.

130165152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 130165152 is about 11408.9943465671. The cubic root of 130165152 is about 506.7941307500.

The spelling of 130165152 in words is "one hundred thirty million, one hundred sixty-five thousand, one hundred fifty-two".