152966442272 has 270 divisors, whose sum is σ = 377756285193. Its totient is φ = 60957367296.

The previous prime is 152966442269. The next prime is 152966442287. The reversal of 152966442272 is 272244669251.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 139998698896 + 12967743376 = 374164^2 + 113876^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=276556.

It is a super-2 number, since 2×152966442272² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152966442272.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1842969143 + ... + 1842969225.

Almost surely, 2^152966442272 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 152966442272

152966442272 is an abundant number, since it is smaller than the sum of its proper divisors (224789842921).

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

152966442272 is an frugal number, since it uses more digits than its factorization.

152966442272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 109 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 50.

Multiplying 152966442272 by its sum of digits (50), we get a square (7648322113600 = 2765560²).

The spelling of 152966442272 in words is "one hundred fifty-two billion, nine hundred sixty-six million, four hundred forty-two thousand, two hundred seventy-two".