142133772528 has 240 divisors, whose sum is σ = 445871462400. Its totient is φ = 41901649920.

The previous prime is 142133772527. The next prime is 142133772563. The reversal of 142133772528 is 825277331241.

142133772528 is a `hidden beast` number, since 1 + 4 + 21 + 3 + 37 + 72 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142133772523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9057393 + ... + 9073071.

It is an arithmetic number, because the mean of its divisors is an integer number (1857797760).

Almost surely, 2^142133772528 is an apocalyptic number.

142133772528 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 142133772528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222935731200).

142133772528 is an abundant number, since it is smaller than the sum of its proper divisors (303737689872).

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

142133772528 is a wasteful number, since it uses less digits than its factorization.

142133772528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15860 (or 15851 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 142133772528 in words is "one hundred forty-two billion, one hundred thirty-three million, seven hundred seventy-two thousand, five hundred twenty-eight".