142396128 has 288 divisors, whose sum is σ = 501935616. Its totient is φ = 37407744.

The previous prime is 142396103. The next prime is 142396129. The reversal of 142396128 is 821693241.

142396128 is a `hidden beast` number, since 1 + 4 + 2 + 39 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142396092 and 142396101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142396129) 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 47 ways as a sum of consecutive naturals, for example, 1715575 + ... + 1715657.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832).

Almost surely, 2^142396128 is an apocalyptic number.

142396128 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 142396128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

142396128 is an abundant number, since it is smaller than the sum of its proper divisors (359539488).

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

142396128 is a wasteful number, since it uses less digits than its factorization.

142396128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 142396128 is about 11932.9848738696. The cubic root of 142396128 is about 522.1950211542.

The spelling of 142396128 in words is "one hundred forty-two million, three hundred ninety-six thousand, one hundred twenty-eight".