155233182601728 has 960 divisors, whose sum is σ = 575502486983424. Its totient is φ = 39108870144000.

The previous prime is 155233182601703. The next prime is 155233182601759. The reversal of 155233182601728 is 827106281332551.

155233182601728 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 3 + 3 + 1 + 8 + 2 + 601 + 7 + 28 = 666.

155233182601728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×155233182601728² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2516679048 + ... + 2516740728.

Almost surely, 2^{155233182601728} is an apocalyptic number.

155233182601728 is a gapful number since it is divisible by the number (18) 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 155233182601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287751243491712).

155233182601728 is an abundant number, since it is smaller than the sum of its proper divisors (420269304381696).

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

155233182601728 is a wasteful number, since it uses less digits than its factorization.

155233182601728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61937 (or 61918 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 155233182601728 in words is "one hundred fifty-five trillion, two hundred thirty-three billion, one hundred eighty-two million, six hundred one thousand, seven hundred twenty-eight".