142807680 has 96 divisors (see below), whose sum is σ = 493152660. Its totient is φ = 38080512.

The previous prime is 142807673. The next prime is 142807681. The reversal of 142807680 is 86708241.

It can be written as a sum of positive squares in 2 ways, for example, as 134374464 + 8433216 = 11592^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 (142807681) 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 11 ways as a sum of consecutive naturals, for example, 6637 + ... + 18156.

Almost surely, 2^142807680 is an apocalyptic number.

142807680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142807680 is an abundant number, since it is smaller than the sum of its proper divisors (350344980).

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

142807680 is a wasteful number, since it uses less digits than its factorization.

142807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24818 (or 24803 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 142807680 is about 11950.2167344362. The cubic root of 142807680 is about 522.6976183716.

The spelling of 142807680 in words is "one hundred forty-two million, eight hundred seven thousand, six hundred eighty".