153166338 has 96 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 44542080.

The previous prime is 153166333. The next prime is 153166367. The reversal of 153166338 is 833661351.

It is a happy number.

153166338 is a `hidden beast` number, since 1 + 5 + 3 + 16 + 633 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (153166333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801823 + ... + 802013.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2^153166338 is an apocalyptic number.

153166338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153166338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

153166338 is an abundant number, since it is smaller than the sum of its proper divisors (224228862).

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

153166338 is a wasteful number, since it uses less digits than its factorization.

153166338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 381 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 153166338 is about 12376.0388654852. The cubic root of 153166338 is about 535.0418786911.

The spelling of 153166338 in words is "one hundred fifty-three million, one hundred sixty-six thousand, three hundred thirty-eight".