1159131145536 has 840 divisors, whose sum is σ = 4331489528520. Its totient is φ = 303788040192.

The previous prime is 1159131145517. The next prime is 1159131145559. The reversal of 1159131145536 is 6355411319511.

1159131145536 is a `hidden beast` number, since 1 + 1 + 5 + 91 + 3 + 1 + 1 + 4 + 553 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 579949263936 + 579181881600 = 761544^2 + 761040^2 .

It is a super-2 number, since 2×1159131145536² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1159131145491 and 1159131145500.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 571280970 + ... + 571282998.

It is an arithmetic number, because the mean of its divisors is an integer number (5156535153).

Almost surely, 2^{1159131145536} is an apocalyptic number.

1159131145536 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 1159131145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165744764260).

1159131145536 is an abundant number, since it is smaller than the sum of its proper divisors (3172358382984).

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

1159131145536 is a wasteful number, since it uses less digits than its factorization.

1159131145536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2227 counting only the distinct ones).

The product of its digits is 243000, while the sum is 45.

The spelling of 1159131145536 in words is "one trillion, one hundred fifty-nine billion, one hundred thirty-one million, one hundred forty-five thousand, five hundred thirty-six".