142946336 has 144 divisors (see below), whose sum is σ = 341175240. Its totient is φ = 58490880.

The previous prime is 142946333. The next prime is 142946341. The reversal of 142946336 is 633649241.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6990736 + 135955600 = 2644^2 + 11660^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 142946336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142946333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3486476 + ... + 3486516.

Almost surely, 2^142946336 is an apocalyptic number.

142946336 is a gapful number since it is divisible by the number (16) 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 142946336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170587620).

142946336 is an abundant number, since it is smaller than the sum of its proper divisors (198228904).

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

142946336 is a wasteful number, since it uses less digits than its factorization.

142946336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its digits is 93312, while the sum is 38.

The square root of 142946336 is about 11956.0167279910. The cubic root of 142946336 is about 522.8667309328.

The spelling of 142946336 in words is "one hundred forty-two million, nine hundred forty-six thousand, three hundred thirty-six".