153308064 has 288 divisors, whose sum is σ = 530893440. Its totient is φ = 38320128.

The previous prime is 153308033. The next prime is 153308081. The reversal of 153308064 is 460803351.

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 47 ways as a sum of consecutive naturals, for example, 1406442 + ... + 1406550.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 2^153308064 is an apocalyptic number.

153308064 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 153308064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265446720).

153308064 is an abundant number, since it is smaller than the sum of its proper divisors (377585376).

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

153308064 is a wasteful number, since it uses less digits than its factorization.

153308064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 153308064 is about 12381.7633639155. The cubic root of 153308064 is about 535.2068539500.

The spelling of 153308064 in words is "one hundred fifty-three million, three hundred eight thousand, sixty-four".