153135664 has 60 divisors (see below), whose sum is σ = 330400728. Its totient is φ = 68696320.

The previous prime is 153135641. The next prime is 153135667. The reversal of 153135664 is 466531351.

It is a super-3 number, since 3×153135664³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (153135667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160212 + ... + 161164.

Almost surely, 2^153135664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153135664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165200364).

153135664 is an abundant number, since it is smaller than the sum of its proper divisors (177265064).

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

153135664 is a wasteful number, since it uses less digits than its factorization.

153135664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1049 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The square root of 153135664 is about 12374.7995539322. The cubic root of 153135664 is about 535.0061594190.

The spelling of 153135664 in words is "one hundred fifty-three million, one hundred thirty-five thousand, six hundred sixty-four".