153846336 has 112 divisors (see below), whose sum is σ = 469782144. Its totient is φ = 43524096.

The previous prime is 153846317. The next prime is 153846337. The reversal of 153846336 is 633648351.

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

It is a junction number, because it is equal to n+sod(n) for n = 153846294 and 153846303.

It is not an unprimeable number, because it can be changed into a prime (153846337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151366 + ... + 152378.

Almost surely, 2^153846336 is an apocalyptic number.

153846336 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 153846336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234891072).

153846336 is an abundant number, since it is smaller than the sum of its proper divisors (315935808).

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

153846336 is a wasteful number, since it uses less digits than its factorization.

153846336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1138 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 153846336 is about 12403.4808017750. The cubic root of 153846336 is about 535.8325013122.

It can be divided in two parts, 1538 and 46336, that added together give a palindrome (47874).

The spelling of 153846336 in words is "one hundred fifty-three million, eight hundred forty-six thousand, three hundred thirty-six".