153528249952 has 576 divisors, whose sum is σ = 422140723200. Its totient is φ = 53579750400.

The previous prime is 153528249929. The next prime is 153528249997. The reversal of 153528249952 is 259942825351.

It is a junction number, because it is equal to n+sod(n) for n = 153528249893 and 153528249902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 941891023 + ... + 941891185.

It is an arithmetic number, because the mean of its divisors is an integer number (732883200).

Almost surely, 2^153528249952 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 153528249952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211070361600).

153528249952 is an abundant number, since it is smaller than the sum of its proper divisors (268612473248).

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

153528249952 is a wasteful number, since it uses less digits than its factorization.

153528249952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 55.

The spelling of 153528249952 in words is "one hundred fifty-three billion, five hundred twenty-eight million, two hundred forty-nine thousand, nine hundred fifty-two".