153464064 has 144 divisors (see below), whose sum is σ = 463579200. Its totient is φ = 44679168.

The previous prime is 153464041. The next prime is 153464089. The reversal of 153464064 is 460464351.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189292 + ... + 190100.

It is an arithmetic number, because the mean of its divisors is an integer number (3219300).

Almost surely, 2^153464064 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 153464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231789600).

153464064 is an abundant number, since it is smaller than the sum of its proper divisors (310115136).

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

153464064 is a wasteful number, since it uses less digits than its factorization.

153464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 153464064 is about 12388.0613495413. The cubic root of 153464064 is about 535.3883272607.

The spelling of 153464064 in words is "one hundred fifty-three million, four hundred sixty-four thousand, sixty-four".