142412820 has 96 divisors (see below), whose sum is σ = 444358656. Its totient is φ = 33782400.

The previous prime is 142412807. The next prime is 142412821. The reversal of 142412820 is 28214241.

It is a super-3 number, since 3×142412820³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142412821) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28725 + ... + 33315.

It is an arithmetic number, because the mean of its divisors is an integer number (4628736).

Almost surely, 2^142412820 is an apocalyptic number.

142412820 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 142412820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222179328).

142412820 is an abundant number, since it is smaller than the sum of its proper divisors (301945836).

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

142412820 is a wasteful number, since it uses less digits than its factorization.

142412820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 142412820 is about 11933.6842592722. The cubic root of 142412820 is about 522.2154246554.

The spelling of 142412820 in words is "one hundred forty-two million, four hundred twelve thousand, eight hundred twenty".