130617144 has 256 divisors, whose sum is σ = 443520000. Its totient is φ = 35562240.

The previous prime is 130617143. The next prime is 130617169. The reversal of 130617144 is 441716031.

It is a happy number.

130617144 is a `hidden beast` number, since 1 + 3 + 0 + 617 + 1 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130617143) 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, 3037587 + ... + 3037629.

It is an arithmetic number, because the mean of its divisors is an integer number (1732500).

Almost surely, 2^130617144 is an apocalyptic number.

130617144 is a gapful number since it is divisible by the number (14) 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 130617144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221760000).

130617144 is an abundant number, since it is smaller than the sum of its proper divisors (312902856).

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

130617144 is a wasteful number, since it uses less digits than its factorization.

130617144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 130617144 is about 11428.7857622759. The cubic root of 130617144 is about 507.3800588535.

The spelling of 130617144 in words is "one hundred thirty million, six hundred seventeen thousand, one hundred forty-four".