142536384 has 84 divisors (see below), whose sum is σ = 411891480. Its totient is φ = 47124480.

The previous prime is 142536379. The next prime is 142536391. The reversal of 142536384 is 483635241.

142536384 is a `hidden beast` number, since 1 + 42 + 536 + 3 + 84 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 74512 + ... + 76400.

It is an arithmetic number, because the mean of its divisors is an integer number (4903470).

Almost surely, 2^142536384 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 142536384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205945740).

142536384 is an abundant number, since it is smaller than the sum of its proper divisors (269355096).

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

142536384 is a wasteful number, since it uses less digits than its factorization.

142536384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2025 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 142536384 is about 11938.8602471090. The cubic root of 142536384 is about 522.3664138091.

The spelling of 142536384 in words is "one hundred forty-two million, five hundred thirty-six thousand, three hundred eighty-four".