142728480 has 144 divisors (see below), whose sum is σ = 505237824. Its totient is φ = 38050560.

The previous prime is 142728479. The next prime is 142728497. The reversal of 142728480 is 84827241.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×142728480² = 40742838006220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37045 + ... + 40715.

It is an arithmetic number, because the mean of its divisors is an integer number (3508596).

Almost surely, 2^142728480 is an apocalyptic number.

142728480 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 142728480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252618912).

142728480 is an abundant number, since it is smaller than the sum of its proper divisors (362509344).

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

142728480 is an equidigital number, since it uses as much as digits as its factorization.

142728480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3681 counting only the distinct ones).

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

The square root of 142728480 is about 11946.9025274336. The cubic root of 142728480 is about 522.6009725267.

The spelling of 142728480 in words is "one hundred forty-two million, seven hundred twenty-eight thousand, four hundred eighty".