142082304 has 288 divisors, whose sum is σ = 494484480. Its totient is φ = 35168256.

The previous prime is 142082299. The next prime is 142082327. The reversal of 142082304 is 403280241.

It is a super-2 number, since 2×142082304² = 40374762219896832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327819 + ... + 1327925.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2^142082304 is an apocalyptic number.

142082304 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 142082304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240).

142082304 is an abundant number, since it is smaller than the sum of its proper divisors (352402176).

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

142082304 is a wasteful number, since it uses less digits than its factorization.

142082304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 142082304 is about 11919.8281866812. The cubic root of 142082304 is about 521.8111205783.

The spelling of 142082304 in words is "one hundred forty-two million, eighty-two thousand, three hundred four".