152733744208672 has 288 divisors, whose sum is σ = 336366493014384. Its totient is φ = 68208843816960.

The previous prime is 152733744208667. The next prime is 152733744208697. The reversal of 152733744208672 is 276802447337251.

It can be written as a sum of positive squares in 8 ways, for example, as 9480709013776 + 143253035194896 = 3079076^2 + 11968836^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 152733744208672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24742220178 + ... + 24742226350.

Almost surely, 2^{152733744208672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152733744208672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168183246507192).

152733744208672 is an abundant number, since it is smaller than the sum of its proper divisors (183632748805712).

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

152733744208672 is a wasteful number, since it uses less digits than its factorization.

152733744208672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6804 (or 6785 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 61.

The spelling of 152733744208672 in words is "one hundred fifty-two trillion, seven hundred thirty-three billion, seven hundred forty-four million, two hundred eight thousand, six hundred seventy-two".