152835984 has 200 divisors, whose sum is σ = 535822848. Its totient is φ = 41057280.

The previous prime is 152835979. The next prime is 152836027. The reversal of 152835984 is 489538251.

152835984 is a `hidden beast` number, since 1 + 52 + 8 + 3 + 598 + 4 = 666.

152835984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153729 + ... + 154719.

Almost surely, 2^152835984 is an apocalyptic number.

152835984 is a gapful number since it is divisible by the number (14) 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 152835984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267911424).

152835984 is an abundant number, since it is smaller than the sum of its proper divisors (382986864).

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

152835984 is a wasteful number, since it uses less digits than its factorization.

152835984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1020 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 152835984 is about 12362.6851452263. The cubic root of 152835984 is about 534.6569367270.

The spelling of 152835984 in words is "one hundred fifty-two million, eight hundred thirty-five thousand, nine hundred eighty-four".