153273247152 has 240 divisors, whose sum is σ = 437486999040. Its totient is φ = 46233956736.

The previous prime is 153273247147. The next prime is 153273247189. The reversal of 153273247152 is 251742372351.

153273247152 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 2×153273247152² (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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210829413 + ... + 210830139.

It is an arithmetic number, because the mean of its divisors is an integer number (1822862496).

Almost surely, 2^153273247152 is an apocalyptic number.

153273247152 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 153273247152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218743499520).

153273247152 is an abundant number, since it is smaller than the sum of its proper divisors (284213751888).

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

153273247152 is an equidigital number, since it uses as much as digits as its factorization.

153273247152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 774 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The spelling of 153273247152 in words is "one hundred fifty-three billion, two hundred seventy-three million, two hundred forty-seven thousand, one hundred fifty-two".