153359104 has 72 divisors (see below), whose sum is σ = 317882880. Its totient is φ = 73801728.

The previous prime is 153359081. The next prime is 153359119. The reversal of 153359104 is 401953351.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1207489 + ... + 1207615.

It is an arithmetic number, because the mean of its divisors is an integer number (4415040).

Almost surely, 2^153359104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153359104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158941440).

153359104 is an abundant number, since it is smaller than the sum of its proper divisors (164523776).

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

153359104 is an equidigital number, since it uses as much as digits as its factorization.

153359104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 153359104 is about 12383.8242881591. The cubic root of 153359104 is about 535.2662418391.

The spelling of 153359104 in words is "one hundred fifty-three million, three hundred fifty-nine thousand, one hundred four".