142900128 has 144 divisors (see below), whose sum is σ = 471272256. Its totient is φ = 40227840.

The previous prime is 142900123. The next prime is 142900151. The reversal of 142900128 is 821009241.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×142900128³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (142900123) 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 23 ways as a sum of consecutive naturals, for example, 146683 + ... + 147653.

It is an arithmetic number, because the mean of its divisors is an integer number (3272724).

Almost surely, 2^142900128 is an apocalyptic number.

142900128 is a gapful number since it is divisible by the number (18) 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 142900128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235636128).

142900128 is an abundant number, since it is smaller than the sum of its proper divisors (328372128).

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

142900128 is a wasteful number, since it uses less digits than its factorization.

142900128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 142900128 is about 11954.0841556348. The cubic root of 142900128 is about 522.8103852430.

Adding to 142900128 its reverse (821009241), we get a palindrome (963909369).

The spelling of 142900128 in words is "one hundred forty-two million, nine hundred thousand, one hundred twenty-eight".