152663427072 has 216 divisors, whose sum is σ = 477455665050. Its totient is φ = 46972403712.

The previous prime is 152663427041. The next prime is 152663427089. The reversal of 152663427072 is 270724366251.

152663427072 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 634 + 2 + 7 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25060156416 + 127603270656 = 158304^2 + 357216^2 .

It is a super-2 number, since 2×152663427072² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3090504 + ... + 3139512.

Almost surely, 2^152663427072 is an apocalyptic number.

152663427072 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 152663427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238727832525).

152663427072 is an abundant number, since it is smaller than the sum of its proper divisors (324792237978).

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

152663427072 is a wasteful number, since it uses less digits than its factorization.

152663427072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49063 (or 49027 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 152663427072 in words is "one hundred fifty-two billion, six hundred sixty-three million, four hundred twenty-seven thousand, seventy-two".