153348096 has 96 divisors (see below), whose sum is σ = 446191200. Its totient is φ = 46448640.

The previous prime is 153348089. The next prime is 153348113. The reversal of 153348096 is 690843351.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66450 + ... + 68718.

It is an arithmetic number, because the mean of its divisors is an integer number (4647825).

Almost surely, 2^153348096 is an apocalyptic number.

153348096 is a gapful number since it is divisible by the number (16) 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 153348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223095600).

153348096 is an abundant number, since it is smaller than the sum of its proper divisors (292843104).

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

153348096 is a wasteful number, since it uses less digits than its factorization.

153348096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 153348096 is about 12383.3798294327. The cubic root of 153348096 is about 535.2534345312.

The spelling of 153348096 in words is "one hundred fifty-three million, three hundred forty-eight thousand, ninety-six".