142572965723136 has 704 divisors, whose sum is σ = 461662579943040. Its totient is φ = 43741177970688.

The previous prime is 142572965723113. The next prime is 142572965723189. The reversal of 142572965723136 is 631327569275241.

142572965723136 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 7 + 29 + 6 + 572 + 3 + 1 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10277003496 + ... + 10277017368.

Almost surely, 2^{142572965723136} is an apocalyptic number.

142572965723136 is a gapful number since it is divisible by the number (16) 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 142572965723136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230831289971520).

142572965723136 is an abundant number, since it is smaller than the sum of its proper divisors (319089614219904).

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

142572965723136 is an equidigital number, since it uses as much as digits as its factorization.

142572965723136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14280 (or 14244 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 142572965723136 in words is "one hundred forty-two trillion, five hundred seventy-two billion, nine hundred sixty-five million, seven hundred twenty-three thousand, one hundred thirty-six".