153062275312 has 80 divisors (see below), whose sum is σ = 308197774080. Its totient is φ = 73562112000.

The previous prime is 153062275309. The next prime is 153062275319. The reversal of 153062275312 is 213572260351.

It is a happy number.

153062275312 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-3 number, since 3×153062275312³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153062275319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 117649062 + ... + 117650362.

It is an arithmetic number, because the mean of its divisors is an integer number (3852472176).

Almost surely, 2^153062275312 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 153062275312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154098887040).

153062275312 is an abundant number, since it is smaller than the sum of its proper divisors (155135498768).

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

153062275312 is a wasteful number, since it uses less digits than its factorization.

153062275312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 153062275312 in words is "one hundred fifty-three billion, sixty-two million, two hundred seventy-five thousand, three hundred twelve".