152253803520 has 2112 divisors, whose sum is σ = 719233920000. Its totient is φ = 30433148928.

The previous prime is 152253803509. The next prime is 152253803549. The reversal of 152253803520 is 25308352251.

152253803520 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 53 + 80 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8013358071 + ... + 8013358089.

Almost surely, 2^152253803520 is an apocalyptic number.

152253803520 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 152253803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359616960000).

152253803520 is an abundant number, since it is smaller than the sum of its proper divisors (566980116480).

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

152253803520 is a wasteful number, since it uses less digits than its factorization.

152253803520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 152253803520 in words is "one hundred fifty-two billion, two hundred fifty-three million, eight hundred three thousand, five hundred twenty".