153006552 has 96 divisors (see below), whose sum is σ = 432806400. Its totient is φ = 48771072.

The previous prime is 153006541. The next prime is 153006571. The reversal of 153006552 is 255600351.

153006552 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 0 + 655 + 2 = 666.

153006552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153006552² = 46822009909857408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264888 + ... + 265464.

It is an arithmetic number, because the mean of its divisors is an integer number (4508400).

Almost surely, 2^153006552 is an apocalyptic number.

153006552 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 153006552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216403200).

153006552 is an abundant number, since it is smaller than the sum of its proper divisors (279799848).

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

153006552 is a wasteful number, since it uses less digits than its factorization.

153006552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 153006552 is about 12369.5817229201. The cubic root of 153006552 is about 534.8557587097.

The spelling of 153006552 in words is "one hundred fifty-three million, six thousand, five hundred fifty-two".