142387920 has 120 divisors (see below), whose sum is σ = 506358216. Its totient is φ = 35733504.

The previous prime is 142387909. The next prime is 142387933. The reversal of 142387920 is 29783241.

It can be written as a sum of positive squares in 4 ways, for example, as 40297104 + 102090816 = 6348^2 + 10104^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6424 + ... + 18056.

Almost surely, 2^142387920 is an apocalyptic number.

142387920 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 142387920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253179108).

142387920 is an abundant number, since it is smaller than the sum of its proper divisors (363970296).

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

142387920 is a wasteful number, since it uses less digits than its factorization.

142387920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11669 (or 11660 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 142387920 is about 11932.6409482562. The cubic root of 142387920 is about 522.1849875033.

The spelling of 142387920 in words is "one hundred forty-two million, three hundred eighty-seven thousand, nine hundred twenty".