153955844 has 36 divisors (see below), whose sum is σ = 315720720. Its totient is φ = 65494800.

The previous prime is 153955843. The next prime is 153955847. The reversal of 153955844 is 448559351.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 153955795 and 153955804.

It is not an unprimeable number, because it can be changed into a prime (153955843) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24419 + ... + 30069.

It is an arithmetic number, because the mean of its divisors is an integer number (8770020).

Almost surely, 2^153955844 is an apocalyptic number.

153955844 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 153955844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157860360).

153955844 is an abundant number, since it is smaller than the sum of its proper divisors (161764876).

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

153955844 is a wasteful number, since it uses less digits than its factorization.

153955844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808 (or 5799 counting only the distinct ones).

The product of its digits is 432000, while the sum is 44.

The square root of 153955844 is about 12407.8944225038. The cubic root of 153955844 is about 535.9596065572.

The spelling of 153955844 in words is "one hundred fifty-three million, nine hundred fifty-five thousand, eight hundred forty-four".