990126144 has 126 divisors (see below), whose sum is σ = 3301461774. Its totient is φ = 282885120.

The previous prime is 990126113. The next prime is 990126191. The reversal of 990126144 is 441621099.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 955551744 + 34574400 = 30912^2 + 5880^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a junction number, because it is equal to n+sod(n) for n = 990126099 and 990126108.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10684 + ... + 45764.

Almost surely, 2^990126144 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 990126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650730887).

990126144 is an abundant number, since it is smaller than the sum of its proper divisors (2311335630).

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

990126144 is a wasteful number, since it uses less digits than its factorization.

990126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35113 (or 35093 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 990126144 is about 31466.2699410019. The cubic root of 990126144 is about 996.6978222918.

The spelling of 990126144 in words is "nine hundred ninety million, one hundred twenty-six thousand, one hundred forty-four".