142164864 has 48 divisors (see below), whose sum is σ = 409097520. Its totient is φ = 47387904.

The previous prime is 142164857. The next prime is 142164887. The reversal of 142164864 is 468461241.

It is a happy number.

142164864 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 648 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×142164864² = 40421697112276992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60552 + ... + 62855.

It is an arithmetic number, because the mean of its divisors is an integer number (8522865).

Almost surely, 2^142164864 is an apocalyptic number.

It is an amenable number.

142164864 is an abundant number, since it is smaller than the sum of its proper divisors (266932656).

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

142164864 is a wasteful number, since it uses less digits than its factorization.

142164864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123427 (or 123412 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 142164864 is about 11923.2908209101. The cubic root of 142164864 is about 521.9121708928.

The spelling of 142164864 in words is "one hundred forty-two million, one hundred sixty-four thousand, eight hundred sixty-four".