990148000 has 96 divisors (see below), whose sum is σ = 2576076048. Its totient is φ = 372736000.

The previous prime is 990147989. The next prime is 990148087. The reversal of 990148000 is 841099.

It can be written as a sum of positive squares in 8 ways, for example, as 273836304 + 716311696 = 16548^2 + 26764^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60720 + ... + 75280.

Almost surely, 2^990148000 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 990148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288038024).

990148000 is an abundant number, since it is smaller than the sum of its proper divisors (1585928048).

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

990148000 is a wasteful number, since it uses less digits than its factorization.

990148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14603 (or 14585 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 990148000 is about 31466.6172315996. The cubic root of 990148000 is about 996.7051559255.

Adding to 990148000 its reverse (841099), we get a palindrome (990989099).

The spelling of 990148000 in words is "nine hundred ninety million, one hundred forty-eight thousand".