1182145536 has 528 divisors, whose sum is σ = 4315403520. Its totient is φ = 316293120.

The previous prime is 1182145529. The next prime is 1182145561. The reversal of 1182145536 is 6355412811.

1182145536 is a `hidden beast` number, since 1 + 1 + 82 + 1 + 45 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 1182145536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51397621 + ... + 51397643.

Almost surely, 2^1182145536 is an apocalyptic number.

1182145536 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 1182145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157701760).

1182145536 is an abundant number, since it is smaller than the sum of its proper divisors (3133257984).

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

1182145536 is a wasteful number, since it uses less digits than its factorization.

1182145536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 52 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1182145536 is about 34382.3433756340. The cubic root of 1182145536 is about 1057.3618792496.

The spelling of 1182145536 in words is "one billion, one hundred eighty-two million, one hundred forty-five thousand, five hundred thirty-six".