142509960 has 96 divisors (see below), whose sum is σ = 464667840. Its totient is φ = 37878912.

The previous prime is 142509959. The next prime is 142509967. The reversal of 142509960 is 69905241.

142509960 is a `hidden beast` number, since 142 + 509 + 9 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (142509967) by changing a digit.

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, 180687 + ... + 181473.

It is an arithmetic number, because the mean of its divisors is an integer number (4840290).

Almost surely, 2^142509960 is an apocalyptic number.

142509960 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 142509960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232333920).

142509960 is an abundant number, since it is smaller than the sum of its proper divisors (322157880).

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

142509960 is a wasteful number, since it uses less digits than its factorization.

142509960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 142509960 is about 11937.7535575166. The cubic root of 142509960 is about 522.3341323130.

The spelling of 142509960 in words is "one hundred forty-two million, five hundred nine thousand, nine hundred sixty".