152739689472 has 704 divisors, whose sum is σ = 509359104000. Its totient is φ = 44962283520.

The previous prime is 152739689441. The next prime is 152739689477. The reversal of 152739689472 is 274986937251.

152739689472 is a `hidden beast` number, since 1 + 5 + 2 + 73 + 96 + 8 + 9 + 472 = 666.

152739689472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (45722880) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152739689477) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 767536029 + ... + 767536227.

Almost surely, 2^152739689472 is an apocalyptic number.

152739689472 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 152739689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254679552000).

152739689472 is an abundant number, since it is smaller than the sum of its proper divisors (356619414528).

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

152739689472 is a wasteful number, since it uses less digits than its factorization.

152739689472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 315 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 152739689472 in words is "one hundred fifty-two billion, seven hundred thirty-nine million, six hundred eighty-nine thousand, four hundred seventy-two".