142956672 has 128 divisors (see below), whose sum is σ = 409795200. Its totient is φ = 43991040.

The previous prime is 142956629. The next prime is 142956673. The reversal of 142956672 is 276659241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×142956672² = 40873220138631168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142956673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398029 + ... + 398387.

It is an arithmetic number, because the mean of its divisors is an integer number (3201525).

Almost surely, 2^142956672 is an apocalyptic number.

142956672 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 142956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204897600).

142956672 is an abundant number, since it is smaller than the sum of its proper divisors (266838528).

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

142956672 is a wasteful number, since it uses less digits than its factorization.

142956672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 142956672 is about 11956.4489711620. The cubic root of 142956672 is about 522.8793329120.

The spelling of 142956672 in words is "one hundred forty-two million, nine hundred fifty-six thousand, six hundred seventy-two".