153144864 has 144 divisors (see below), whose sum is σ = 472379040. Its totient is φ = 48263040.

The previous prime is 153144841. The next prime is 153144899. The reversal of 153144864 is 468441351.

153144864 is a `hidden beast` number, since 1 + 531 + 44 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311659 + ... + 312149.

It is an arithmetic number, because the mean of its divisors is an integer number (3280410).

Almost surely, 2^153144864 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 153144864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236189520).

153144864 is an abundant number, since it is smaller than the sum of its proper divisors (319234176).

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

153144864 is a wasteful number, since it uses less digits than its factorization.

153144864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 515 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 153144864 is about 12375.1712715421. The cubic root of 153144864 is about 535.0168731395.

The spelling of 153144864 in words is "one hundred fifty-three million, one hundred forty-four thousand, eight hundred sixty-four".