128153664 has 140 divisors (see below), whose sum is σ = 387248400. Its totient is φ = 41893632.

The previous prime is 128153653. The next prime is 128153671. The reversal of 128153664 is 466351821.

It is a happy number.

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 19 ways as a sum of consecutive naturals, for example, 305647 + ... + 306065.

It is an arithmetic number, because the mean of its divisors is an integer number (2766060).

Almost surely, 2^128153664 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 128153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193624200).

128153664 is an abundant number, since it is smaller than the sum of its proper divisors (259094736).

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

128153664 is an equidigital number, since it uses as much as digits as its factorization.

128153664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 483 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 128153664 is about 11320.4975155688. The cubic root of 128153664 is about 504.1700106723.

It can be divided in two parts, 1281 and 53664, that added together give a palindrome (54945).

The spelling of 128153664 in words is "one hundred twenty-eight million, one hundred fifty-three thousand, six hundred sixty-four".