192141264 has 160 divisors (see below), whose sum is σ = 605675520. Its totient is φ = 51393408.

The previous prime is 192141263. The next prime is 192141371. The reversal of 192141264 is 462141291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192141263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4088089 + ... + 4088135.

It is an arithmetic number, because the mean of its divisors is an integer number (3785472).

Almost surely, 2^192141264 is an apocalyptic number.

192141264 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 192141264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302837760).

192141264 is an abundant number, since it is smaller than the sum of its proper divisors (413534256).

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

192141264 is an equidigital number, since it uses as much as digits as its factorization.

192141264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 82 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 192141264 is about 13861.5029488147. The cubic root of 192141264 is about 577.0412781209.

The spelling of 192141264 in words is "one hundred ninety-two million, one hundred forty-one thousand, two hundred sixty-four".