142668960 has 96 divisors (see below), whose sum is σ = 513620352. Its totient is φ = 32609280.

The previous prime is 142668919. The next prime is 142668973. The reversal of 142668960 is 69866241.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17871 + ... + 24590.

It is an arithmetic number, because the mean of its divisors is an integer number (5350212).

Almost surely, 2^142668960 is an apocalyptic number.

142668960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142668960 is an abundant number, since it is smaller than the sum of its proper divisors (370951392).

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

142668960 is a wasteful number, since it uses less digits than its factorization.

142668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42486 (or 42478 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 142668960 is about 11944.4112454319. The cubic root of 142668960 is about 522.5283181770.

The spelling of 142668960 in words is "one hundred forty-two million, six hundred sixty-eight thousand, nine hundred sixty".