142020864 has 126 divisors (see below), whose sum is σ = 425594526. Its totient is φ = 47278080.

The previous prime is 142020863. The next prime is 142020919. The reversal of 142020864 is 468020241.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 67371264 = 8640^2 + 8208^2 .

It is a super-2 number, since 2×142020864² = 40339851622612992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142020863) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186244 + ... + 187004.

Almost surely, 2^142020864 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 142020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212797263).

142020864 is an abundant number, since it is smaller than the sum of its proper divisors (283573662).

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

142020864 is an frugal number, since it uses more digits than its factorization.

142020864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 142020864 is about 11917.2506896515. The cubic root of 142020864 is about 521.7358949365.

It can be divided in two parts, 142020 and 864, that added together give a square (142884 = 378²).

The spelling of 142020864 in words is "one hundred forty-two million, twenty thousand, eight hundred sixty-four".