130664160 has 288 divisors, whose sum is σ = 497454048. Its totient is φ = 30965760.

The previous prime is 130664147. The next prime is 130664167. The reversal of 130664160 is 61466031.

130664160 is a `hidden beast` number, since 13 + 0 + 6 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130664167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1156264 + ... + 1156376.

It is an arithmetic number, because the mean of its divisors is an integer number (1727271).

Almost surely, 2^130664160 is an apocalyptic number.

130664160 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 130664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248727024).

130664160 is an abundant number, since it is smaller than the sum of its proper divisors (366789888).

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

130664160 is a wasteful number, since it uses less digits than its factorization.

130664160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 130664160 is about 11430.8424886357. The cubic root of 130664160 is about 507.4409291662.

The spelling of 130664160 in words is "one hundred thirty million, six hundred sixty-four thousand, one hundred sixty".