142205680 has 80 divisors (see below), whose sum is σ = 361476864. Its totient is φ = 51793920.

The previous prime is 142205669. The next prime is 142205737. The reversal of 142205680 is 86502241.

142205680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

142205680 is a nontrivial binomial coefficient, being equal to C(16865, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40474 + ... + 43846.

Almost surely, 2^142205680 is an apocalyptic number.

142205680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142205680 is the 16864-th triangular number.

142205680 is the 5622-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142205680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180738432).

142205680 is an abundant number, since it is smaller than the sum of its proper divisors (219271184).

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

142205680 is a wasteful number, since it uses less digits than its factorization.

142205680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 142205680 is about 11925.0023060794. The cubic root of 142205680 is about 521.9621136804.

It can be divided in two parts, 14220 and 5680, that added together give a triangular number (19900 = T₁₉₉).

The spelling of 142205680 in words is "one hundred forty-two million, two hundred five thousand, six hundred eighty".