152534505200000 has 768 divisors, whose sum is σ = 474168671262720. Its totient is φ = 47480601600000.

The previous prime is 152534505199957. The next prime is 152534505200039. The reversal of 152534505200000 is 2505435251.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 152534505200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27011597177 + ... + 27011602823.

It is an arithmetic number, because the mean of its divisors is an integer number (617407124040).

Almost surely, 2^{152534505200000} is an apocalyptic number.

152534505200000 is a gapful number since it is divisible by the number (10) 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 152534505200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237084335631360).

152534505200000 is an abundant number, since it is smaller than the sum of its proper divisors (321634166062720).

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

152534505200000 is an frugal number, since it uses more digits than its factorization.

152534505200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6581 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The spelling of 152534505200000 in words is "one hundred fifty-two trillion, five hundred thirty-four billion, five hundred five million, two hundred thousand".