142296192 has 96 divisors (see below), whose sum is σ = 412717500. Its totient is φ = 47056896.

The previous prime is 142296181. The next prime is 142296221. The reversal of 142296192 is 291692241.

142296192 is a `hidden beast` number, since 14 + 2 + 29 + 619 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 137733696 + 4562496 = 11736^2 + 2136^2 .

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 (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171234 + ... + 172062.

Almost surely, 2^142296192 is an apocalyptic number.

142296192 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 142296192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206358750).

142296192 is an abundant number, since it is smaller than the sum of its proper divisors (270421308).

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

142296192 is a wasteful number, since it uses less digits than its factorization.

142296192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 983 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 142296192 is about 11928.7967540737. The cubic root of 142296192 is about 522.0728308121.

The spelling of 142296192 in words is "one hundred forty-two million, two hundred ninety-six thousand, one hundred ninety-two".