142956 has 54 divisors (see below), whose sum is σ = 416052. Its totient is φ = 41040.

The previous prime is 142949. The next prime is 142963. The reversal of 142956 is 659241.

142956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142949) and next prime (142963).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142956.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7515 + ... + 7533.

2¹⁴²⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208026).

142956 is an abundant number, since it is smaller than the sum of its proper divisors (273096).

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

142956 is a wasteful number, since it uses less digits than its factorization.

142956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 35 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 142956 is about 378.0952261005. The cubic root of 142956 is about 52.2878513607.

It can be divided in two parts, 1429 and 56, that added together give a triangular number (1485 = T₅₄).

The spelling of 142956 in words is "one hundred forty-two thousand, nine hundred fifty-six".