1133767907136 has 392 divisors, whose sum is σ = 3543664930944. Its totient is φ = 359045913600.

The previous prime is 1133767907131. The next prime is 1133767907137. The reversal of 1133767907136 is 6317097673311.

1133767907136 is a `hidden beast` number, since 113 + 376 + 7 + 90 + 71 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133767907131) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 162032790 + ... + 162039786.

Almost surely, 2^{1133767907136} is an apocalyptic number.

1133767907136 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 1133767907136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771832465472).

1133767907136 is an abundant number, since it is smaller than the sum of its proper divisors (2409897023808).

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

1133767907136 is an equidigital number, since it uses as much as digits as its factorization.

1133767907136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7201 (or 7176 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 1133767907136 in words is "one trillion, one hundred thirty-three billion, seven hundred sixty-seven million, nine hundred seven thousand, one hundred thirty-six".