142382240 has 288 divisors, whose sum is σ = 463325184. Its totient is φ = 40642560.

The previous prime is 142382239. The next prime is 142382243. The reversal of 142382240 is 42283241.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (142382243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121057 + ... + 1121183.

It is an arithmetic number, because the mean of its divisors is an integer number (1608768).

Almost surely, 2^142382240 is an apocalyptic number.

142382240 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 142382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231662592).

142382240 is an abundant number, since it is smaller than the sum of its proper divisors (320942944).

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

142382240 is a wasteful number, since it uses less digits than its factorization.

142382240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 142382240 is about 11932.4029432466. The cubic root of 142382240 is about 522.1780439129.

The spelling of 142382240 in words is "one hundred forty-two million, three hundred eighty-two thousand, two hundred forty".