152528137500 has 288 divisors, whose sum is σ = 462390405120. Its totient is φ = 39088800000.

The previous prime is 152528137439. The next prime is 152528137501. The reversal of 152528137500 is 5731825251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152528137501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208087134 + ... + 208087866.

It is an arithmetic number, because the mean of its divisors is an integer number (1605522240).

Almost surely, 2^152528137500 is an apocalyptic number.

152528137500 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 152528137500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231195202560).

152528137500 is an abundant number, since it is smaller than the sum of its proper divisors (309862267620).

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

152528137500 is a wasteful number, since it uses less digits than its factorization.

152528137500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 152528137500 in words is "one hundred fifty-two billion, five hundred twenty-eight million, one hundred thirty-seven thousand, five hundred".