142112560 has 80 divisors (see below), whose sum is σ = 347915232. Its totient is φ = 53913600.

The previous prime is 142112543. The next prime is 142112567. The reversal of 142112560 is 65211241.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (142112567) 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 15 ways as a sum of consecutive naturals, for example, 120775 + ... + 121945.

Almost surely, 2^142112560 is an apocalyptic number.

142112560 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 142112560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173957616).

142112560 is an abundant number, since it is smaller than the sum of its proper divisors (205802672).

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

142112560 is a wasteful number, since it uses less digits than its factorization.

142112560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 142112560 is about 11921.0972649333. The cubic root of 142112560 is about 521.8481573199.

The spelling of 142112560 in words is "one hundred forty-two million, one hundred twelve thousand, five hundred sixty".