152005325760 has 336 divisors, whose sum is σ = 543087653472. Its totient is φ = 40468377600.

The previous prime is 152005325737. The next prime is 152005325779. The reversal of 152005325760 is 67523500251.

152005325760 is a `hidden beast` number, since 1 + 52 + 0 + 0 + 5 + 32 + 576 + 0 = 666.

It is a super-3 number, since 3×152005325760³ (a number of 35 digits) contains 333 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63839770 + ... + 63842150.

It is an arithmetic number, because the mean of its divisors is an integer number (1616332302).

Almost surely, 2^152005325760 is an apocalyptic number.

152005325760 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 152005325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271543826736).

152005325760 is an abundant number, since it is smaller than the sum of its proper divisors (391082327712).

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

152005325760 is an equidigital number, since it uses as much as digits as its factorization.

152005325760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 152005325760 in words is "one hundred fifty-two billion, five million, three hundred twenty-five thousand, seven hundred sixty".