153545664 has 112 divisors (see below), whose sum is σ = 421355520. Its totient is φ = 49320960.

The previous prime is 153545659. The next prime is 153545681. The reversal of 153545664 is 466545351.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803809 + ... + 803999.

Almost surely, 2^153545664 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 153545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210677760).

153545664 is an abundant number, since it is smaller than the sum of its proper divisors (267809856).

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

153545664 is a wasteful number, since it uses less digits than its factorization.

153545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The square root of 153545664 is about 12391.3544053909. The cubic root of 153545664 is about 535.4832027762.

The spelling of 153545664 in words is "one hundred fifty-three million, five hundred forty-five thousand, six hundred sixty-four".