142251264 has 108 divisors (see below), whose sum is σ = 424487700. Its totient is φ = 45760512.

The previous prime is 142251253. The next prime is 142251283. The reversal of 142251264 is 462152241.

142251264 is a `hidden beast` number, since 142 + 2 + 512 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54641664 + 87609600 = 7392^2 + 9360^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65752 + ... + 67880.

Almost surely, 2^142251264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212243850).

142251264 is an abundant number, since it is smaller than the sum of its proper divisors (282236436).

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

142251264 is a wasteful number, since it uses less digits than its factorization.

142251264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2163 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 142251264 is about 11926.9134313954. The cubic root of 142251264 is about 522.0178793365.

The spelling of 142251264 in words is "one hundred forty-two million, two hundred fifty-one thousand, two hundred sixty-four".