142401168 has 120 divisors (see below), whose sum is σ = 490538048. Its totient is φ = 37552896.

The previous prime is 142401167. The next prime is 142401187. The reversal of 142401168 is 861104241.

It is a happy number.

142401168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (142401167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7671 + ... + 18537.

Almost surely, 2^142401168 is an apocalyptic number.

142401168 is a gapful number since it is divisible by the number (18) 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 142401168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245269024).

142401168 is an abundant number, since it is smaller than the sum of its proper divisors (348136880).

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

142401168 is a wasteful number, since it uses less digits than its factorization.

142401168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10901 (or 10892 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 142401168 is about 11933.1960513519. The cubic root of 142401168 is about 522.2011819768.

The spelling of 142401168 in words is "one hundred forty-two million, four hundred one thousand, one hundred sixty-eight".