130164192 has 96 divisors (see below), whose sum is σ = 384652800. Its totient is φ = 42816384.

The previous prime is 130164163. The next prime is 130164247. The reversal of 130164192 is 291461031.

130164192 is a `hidden beast` number, since 13 + 0 + 1 + 641 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67303 + ... + 69209.

It is an arithmetic number, because the mean of its divisors is an integer number (4006800).

Almost surely, 2^130164192 is an apocalyptic number.

130164192 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 130164192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192326400).

130164192 is an abundant number, since it is smaller than the sum of its proper divisors (254488608).

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

130164192 is a wasteful number, since it uses less digits than its factorization.

130164192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 130164192 is about 11408.9522744203. The cubic root of 130164192 is about 506.7928848365.

The spelling of 130164192 in words is "one hundred thirty million, one hundred sixty-four thousand, one hundred ninety-two".