1141137936 has 160 divisors (see below), whose sum is σ = 3434304000. Its totient is φ = 362299392.

The previous prime is 1141137889. The next prime is 1141137961. The reversal of 1141137936 is 6397311411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1141137936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 989136 + ... + 990288.

It is an arithmetic number, because the mean of its divisors is an integer number (21464400).

Almost surely, 2^1141137936 is an apocalyptic number.

1141137936 is a gapful number since it is divisible by the number (16) 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 1141137936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717152000).

1141137936 is an abundant number, since it is smaller than the sum of its proper divisors (2293166064).

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

1141137936 is a wasteful number, since it uses less digits than its factorization.

1141137936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1266 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 1141137936 is about 33780.7332069628. The cubic root of 1141137936 is about 1044.9913954253.

The spelling of 1141137936 in words is "one billion, one hundred forty-one million, one hundred thirty-seven thousand, nine hundred thirty-six".