1182752560152 has 256 divisors, whose sum is σ = 3452179046400. Its totient is φ = 374715072000.

The previous prime is 1182752560141. The next prime is 1182752560159. The reversal of 1182752560152 is 2510652572811.

It is a happy number.

1182752560152 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 75 + 2 + 560 + 15 + 2 = 666.

It is a super-2 number, since 2×1182752560152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1182752560098 and 1182752560107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1182752560159) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 335340613 + ... + 335344139.

It is an arithmetic number, because the mean of its divisors is an integer number (13485074400).

Almost surely, 2^{1182752560152} is an apocalyptic number.

1182752560152 is a gapful number since it is divisible by the number (12) 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 1182752560152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726089523200).

1182752560152 is an abundant number, since it is smaller than the sum of its proper divisors (2269426486248).

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

1182752560152 is a wasteful number, since it uses less digits than its factorization.

1182752560152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 1182752560152 in words is "one trillion, one hundred eighty-two billion, seven hundred fifty-two million, five hundred sixty thousand, one hundred fifty-two".