142977312 has 120 divisors (see below), whose sum is σ = 424082736. Its totient is φ = 47449152.

The previous prime is 142977311. The next prime is 142977319. The reversal of 142977312 is 213779241.

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

It is not an unprimeable number, because it can be changed into a prime (142977311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 629743 + ... + 629969.

Almost surely, 2^142977312 is an apocalyptic number.

142977312 is a gapful number since it is divisible by the number (12) 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 142977312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212041368).

142977312 is an abundant number, since it is smaller than the sum of its proper divisors (281105424).

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

142977312 is an frugal number, since it uses more digits than its factorization.

142977312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 232 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 142977312 is about 11957.3120725354. The cubic root of 142977312 is about 522.9044960376.

It can be divided in two parts, 14297 and 7312, that added together give a square (21609 = 147²).

The spelling of 142977312 in words is "one hundred forty-two million, nine hundred seventy-seven thousand, three hundred twelve".