142681680 has 120 divisors (see below), whose sum is σ = 507402792. Its totient is φ = 35807232.

The previous prime is 142681661. The next prime is 142681691. The reversal of 142681680 is 86186241.

142681680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 44195904 + 98485776 = 6648^2 + 9924^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6412 + ... + 18068.

Almost surely, 2^142681680 is an apocalyptic number.

142681680 is a gapful number since it is divisible by the number (10) 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 142681680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253701396).

142681680 is an abundant number, since it is smaller than the sum of its proper divisors (364721112).

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

142681680 is a wasteful number, since it uses less digits than its factorization.

142681680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11693 (or 11684 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 142681680 is about 11944.9437001603. The cubic root of 142681680 is about 522.5438468122.

The spelling of 142681680 in words is "one hundred forty-two million, six hundred eighty-one thousand, six hundred eighty".