142193280 has 128 divisors (see below), whose sum is σ = 468057600. Its totient is φ = 36679680.

The previous prime is 142193279. The next prime is 142193281. The reversal of 142193280 is 82391241.

It is an interprime number because it is at equal distance from previous prime (142193279) and next prime (142193281).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (142193281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58326 + ... + 60714.

It is an arithmetic number, because the mean of its divisors is an integer number (3656700).

Almost surely, 2^142193280 is an apocalyptic number.

142193280 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 142193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234028800).

142193280 is an abundant number, since it is smaller than the sum of its proper divisors (325864320).

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

142193280 is a wasteful number, since it uses less digits than its factorization.

142193280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 142193280 is about 11924.4823787031. The cubic root of 142193280 is about 521.9469419509.

The spelling of 142193280 in words is "one hundred forty-two million, one hundred ninety-three thousand, two hundred eighty".