142656120 has 128 divisors (see below), whose sum is σ = 496281600. Its totient is φ = 36381312.

The previous prime is 142656119. The next prime is 142656149. The reversal of 142656120 is 21656241.

142656120 is a `hidden beast` number, since 1 + 4 + 2 + 656 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 21969 + ... + 27711.

It is an arithmetic number, because the mean of its divisors is an integer number (3877200).

Almost surely, 2^142656120 is an apocalyptic number.

142656120 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 142656120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248140800).

142656120 is an abundant number, since it is smaller than the sum of its proper divisors (353625480).

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

142656120 is a wasteful number, since it uses less digits than its factorization.

142656120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5776 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 142656120 is about 11943.8737434720. The cubic root of 142656120 is about 522.5126421092.

The spelling of 142656120 in words is "one hundred forty-two million, six hundred fifty-six thousand, one hundred twenty".