152029457216 has 168 divisors, whose sum is σ = 400166302536. Its totient is φ = 56605409280.

The previous prime is 152029457191. The next prime is 152029457219. The reversal of 152029457216 is 612754920251.

It can be written as a sum of positive squares in 4 ways, for example, as 51032617216 + 100996840000 = 225904^2 + 317800^2 .

It is a super-2 number, since 2×152029457216² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152029457219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583376 + ... + 802736.

It is an arithmetic number, because the mean of its divisors is an integer number (2381942277).

Almost surely, 2^152029457216 is an apocalyptic number.

152029457216 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 152029457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200083151268).

152029457216 is an abundant number, since it is smaller than the sum of its proper divisors (248136845320).

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

152029457216 is a wasteful number, since it uses less digits than its factorization.

152029457216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219417 (or 219400 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 152029457216 in words is "one hundred fifty-two billion, twenty-nine million, four hundred fifty-seven thousand, two hundred sixteen".