142961312 has 48 divisors (see below), whose sum is σ = 304215912. Its totient is φ = 65740800.

The previous prime is 142961297. The next prime is 142961321. The reversal of 142961312 is 213169241.

It can be written as a sum of positive squares in 4 ways, for example, as 142945936 + 15376 = 11956^2 + 124^2 .

It is a super-2 number, since 2×142961312² = 40875873457522688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166388 + ... + 167244.

Almost surely, 2^142961312 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 142961312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152107956).

142961312 is an abundant number, since it is smaller than the sum of its proper divisors (161254600).

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

142961312 is a wasteful number, since it uses less digits than its factorization.

142961312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1273 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 142961312 is about 11956.6430071321. The cubic root of 142961312 is about 522.8849899497.

The spelling of 142961312 in words is "one hundred forty-two million, nine hundred sixty-one thousand, three hundred twelve".