142087120 has 80 divisors (see below), whose sum is σ = 379047168. Its totient is φ = 48522240.

The previous prime is 142087091. The next prime is 142087133. The reversal of 142087120 is 21780241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 272460 + ... + 272980.

Almost surely, 2^142087120 is an apocalyptic number.

142087120 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 142087120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189523584).

142087120 is an abundant number, since it is smaller than the sum of its proper divisors (236960048).

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

142087120 is a wasteful number, since it uses less digits than its factorization.

142087120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 142087120 is about 11920.0302013040. The cubic root of 142087120 is about 521.8170162550.

The spelling of 142087120 in words is "one hundred forty-two million, eighty-seven thousand, one hundred twenty".