992135144 has 144 divisors (see below), whose sum is σ = 2563136100. Its totient is φ = 356590080.

The previous prime is 992135117. The next prime is 992135159. The reversal of 992135144 is 441531299.

It can be written as a sum of positive squares in 2 ways, for example, as 977312644 + 14822500 = 31262^2 + 3850^2 .

It is a junction number, because it is equal to n+sod(n) for n = 992135098 and 992135107.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 615812 + ... + 617420.

Almost surely, 2^992135144 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 992135144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281568050).

992135144 is an abundant number, since it is smaller than the sum of its proper divisors (1571000956).

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

992135144 is a wasteful number, since it uses less digits than its factorization.

992135144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1642 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 992135144 is about 31498.1768361282. The cubic root of 992135144 is about 997.3714782604.

The spelling of 992135144 in words is "nine hundred ninety-two million, one hundred thirty-five thousand, one hundred forty-four".