142728840 has 96 divisors (see below), whose sum is σ = 466315200. Its totient is φ = 37860480.

The previous prime is 142728809. The next prime is 142728853. The reversal of 142728840 is 48827241.

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

It is a junction number, because it is equal to n+sod(n) for n = 142728795 and 142728804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75021 + ... + 76899.

It is an arithmetic number, because the mean of its divisors is an integer number (4857450).

Almost surely, 2^142728840 is an apocalyptic number.

142728840 is a gapful number since it is divisible by the number (10) 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 142728840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233157600).

142728840 is an abundant number, since it is smaller than the sum of its proper divisors (323586360).

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

142728840 is a wasteful number, since it uses less digits than its factorization.

142728840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 142728840 is about 11946.9175940910. The cubic root of 142728840 is about 522.6014119069.

The spelling of 142728840 in words is "one hundred forty-two million, seven hundred twenty-eight thousand, eight hundred forty".