142120680 has 256 divisors, whose sum is σ = 509483520. Its totient is φ = 31358976.

The previous prime is 142120679. The next prime is 142120681. The reversal of 142120680 is 86021241.

It is an interprime number because it is at equal distance from previous prime (142120679) and next prime (142120681).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142120680.

It is not an unprimeable number, because it can be changed into a prime (142120681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609844 + ... + 610076.

It is an arithmetic number, because the mean of its divisors is an integer number (1990170).

Almost surely, 2^142120680 is an apocalyptic number.

142120680 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 142120680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254741760).

142120680 is an abundant number, since it is smaller than the sum of its proper divisors (367362840).

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

142120680 is a wasteful number, since it uses less digits than its factorization.

142120680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 142120680 is about 11921.4378327448. The cubic root of 142120680 is about 521.8580962170.

The spelling of 142120680 in words is "one hundred forty-two million, one hundred twenty thousand, six hundred eighty".