1131953040 has 120 divisors (see below), whose sum is σ = 3823148160. Its totient is φ = 300133632.

The previous prime is 1131952993. The next prime is 1131953077. The reversal of 1131953040 is 403591311.

1131953040 is a `hidden beast` number, since 113 + 19 + 530 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1131952995 and 1131953013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124489 + ... + 133271.

It is an arithmetic number, because the mean of its divisors is an integer number (31859568).

Almost surely, 2^1131953040 is an apocalyptic number.

1131953040 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 1131953040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911574080).

1131953040 is an abundant number, since it is smaller than the sum of its proper divisors (2691195120).

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

1131953040 is a wasteful number, since it uses less digits than its factorization.

1131953040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8981 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1131953040 is about 33644.5098047215. The cubic root of 1131953040 is about 1042.1801651574.

The spelling of 1131953040 in words is "one billion, one hundred thirty-one million, nine hundred fifty-three thousand, forty".