153820352 has 112 divisors (see below), whose sum is σ = 389168640. Its totient is φ = 58724352.

The previous prime is 153820339. The next prime is 153820361. The reversal of 153820352 is 253028351.

153820352 is nontrivially palindromic in base 6.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 144173 + ... + 145235.

It is an arithmetic number, because the mean of its divisors is an integer number (3474720).

Almost surely, 2^153820352 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 153820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

153820352 is an abundant number, since it is smaller than the sum of its proper divisors (235348288).

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

153820352 is a wasteful number, since it uses less digits than its factorization.

153820352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 153820352 is about 12402.4333096373. The cubic root of 153820352 is about 535.8023329940.

The spelling of 153820352 in words is "one hundred fifty-three million, eight hundred twenty thousand, three hundred fifty-two".