142264080 has 240 divisors, whose sum is σ = 565856640. Its totient is φ = 32182272.

The previous prime is 142264063. The next prime is 142264091. The reversal of 142264080 is 80462241.

142264080 is a `hidden beast` number, since 14 + 2 + 2 + 640 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1466592 + ... + 1466688.

It is an arithmetic number, because the mean of its divisors is an integer number (2357736).

Almost surely, 2^142264080 is an apocalyptic number.

142264080 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 142264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282928320).

142264080 is an abundant number, since it is smaller than the sum of its proper divisors (423592560).

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

142264080 is an equidigital number, since it uses as much as digits as its factorization.

142264080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 142264080 is about 11927.4506915770. The cubic root of 142264080 is about 522.0335557766.

The spelling of 142264080 in words is "one hundred forty-two million, two hundred sixty-four thousand, eighty".