130623192000 has 1344 divisors, whose sum is σ = 574617738240. Its totient is φ = 28740096000.

The previous prime is 130623191987. The next prime is 130623192001. The reversal of 130623192000 is 291326031.

130623192000 is a `hidden beast` number, since 1 + 3 + 0 + 623 + 19 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (130623192001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 394631835 + ... + 394632165.

It is an arithmetic number, because the mean of its divisors is an integer number (427542960).

Almost surely, 2^130623192000 is an apocalyptic number.

130623192000 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 130623192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287308869120).

130623192000 is an abundant number, since it is smaller than the sum of its proper divisors (443994546240).

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

130623192000 is an equidigital number, since it uses as much as digits as its factorization.

130623192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 130623192000 in words is "one hundred thirty billion, six hundred twenty-three million, one hundred ninety-two thousand".