142135369272 has 768 divisors, whose sum is σ = 474926284800. Its totient is φ = 39230231040.

The previous prime is 142135369261. The next prime is 142135369273. The reversal of 142135369272 is 272963531241.

It is a happy number.

142135369272 is a `hidden beast` number, since 1 + 4 + 2 + 13 + 5 + 369 + 272 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142135369273) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1119176073 + ... + 1119176199.

It is an arithmetic number, because the mean of its divisors is an integer number (618393600).

Almost surely, 2^142135369272 is an apocalyptic number.

142135369272 is a gapful number since it is divisible by the number (12) 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 142135369272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237463142400).

142135369272 is an abundant number, since it is smaller than the sum of its proper divisors (332790915528).

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

142135369272 is a wasteful number, since it uses less digits than its factorization.

142135369272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 242 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 142135369272 in words is "one hundred forty-two billion, one hundred thirty-five million, three hundred sixty-nine thousand, two hundred seventy-two".