153966336 has 144 divisors (see below), whose sum is σ = 439541760. Its totient is φ = 47738880.

The previous prime is 153966283. The next prime is 153966343. The reversal of 153966336 is 633669351.

It is a congruent number.

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, 690321 + ... + 690543.

Almost surely, 2^153966336 is an apocalyptic number.

153966336 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 153966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219770880).

153966336 is an abundant number, since it is smaller than the sum of its proper divisors (285575424).

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

153966336 is a wasteful number, since it uses less digits than its factorization.

153966336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its digits is 262440, while the sum is 42.

The square root of 153966336 is about 12408.3172106454. The cubic root of 153966336 is about 535.9717813911.

The spelling of 153966336 in words is "one hundred fifty-three million, nine hundred sixty-six thousand, three hundred thirty-six".