901000128 has 112 divisors (see below), whose sum is σ = 2735884800. Its totient is φ = 256349184.

The previous prime is 901000123. The next prime is 901000129. The reversal of 901000128 is 821000109.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901000123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352198 + ... + 354746.

Almost surely, 2^901000128 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 901000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367942400).

901000128 is an abundant number, since it is smaller than the sum of its proper divisors (1834884672).

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

901000128 is a wasteful number, since it uses less digits than its factorization.

901000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 901000128 is about 30016.6641717563. The cubic root of 901000128 is about 965.8468866455.

The spelling of 901000128 in words is "nine hundred one million, one hundred twenty-eight", and thus it is an aban number.