1131649000 has 64 divisors (see below), whose sum is σ = 2653644240. Its totient is φ = 451705600.

The previous prime is 1131648989. The next prime is 1131649007. The reversal of 1131649000 is 9461311.

It can be written as a sum of positive squares in 8 ways, for example, as 133956 + 1131515044 = 366^2 + 33638^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1131649007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652134 + ... + 653866.

Almost surely, 2^1131649000 is an apocalyptic number.

1131649000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131649000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326822120).

1131649000 is an abundant number, since it is smaller than the sum of its proper divisors (1521995240).

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

1131649000 is a wasteful number, since it uses less digits than its factorization.

1131649000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 1131649000 is about 33639.9910820440. The cubic root of 1131649000 is about 1042.0868477316.

The spelling of 1131649000 in words is "one billion, one hundred thirty-one million, six hundred forty-nine thousand".