1145309186136 has 256 divisors, whose sum is σ = 3084912230400. Its totient is φ = 353767067136.

The previous prime is 1145309186071. The next prime is 1145309186137. The reversal of 1145309186136 is 6316819035411.

It is a happy number.

It is a super-2 number, since 2×1145309186136² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145309186137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286110711 + ... + 286114713.

It is an arithmetic number, because the mean of its divisors is an integer number (12050438400).

Almost surely, 2^{1145309186136} 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 1145309186136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542456115200).

1145309186136 is an abundant number, since it is smaller than the sum of its proper divisors (1939603044264).

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

1145309186136 is a wasteful number, since it uses less digits than its factorization.

1145309186136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 1145309186136 in words is "one trillion, one hundred forty-five billion, three hundred nine million, one hundred eighty-six thousand, one hundred thirty-six".