142560 has 120 divisors (see below), whose sum is σ = 548856. Its totient is φ = 34560.

The previous prime is 142559. The next prime is 142567. The reversal of 142560 is 65241.

It is a happy number.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12955 + ... + 12965.

2¹⁴²⁵⁶⁰ is an apocalyptic number.

142560 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 142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274428).

142560 is an abundant number, since it is smaller than the sum of its proper divisors (406296).

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

142560 is a wasteful number, since it uses less digits than its factorization.

142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 142560 is about 377.5711853413. The cubic root of 142560 is about 52.2395261470.

It can be divided in two parts, 1425 and 60, that added together give a triangular number (1485 = T₅₄).

The spelling of 142560 in words is "one hundred forty-two thousand, five hundred sixty".