920142 has 48 divisors (see below), whose sum is σ = 2201472. Its totient is φ = 276480.

The previous prime is 920137. The next prime is 920147. The reversal of 920142 is 241029.

It is an interprime number because it is at equal distance from previous prime (920137) and next prime (920147).

It is a super-2 number, since 2×920142² = 1693322600328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9438 + ... + 9534.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

2⁹²⁰¹⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736).

920142 is an abundant number, since it is smaller than the sum of its proper divisors (1281330).

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

920142 is a wasteful number, since it uses less digits than its factorization.

920142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 920142 is about 959.2403244234. The cubic root of 920142 is about 97.2638862635.

The spelling of 920142 in words is "nine hundred twenty thousand, one hundred forty-two".