1136151645120 has 280 divisors, whose sum is σ = 4047117538464. Its totient is φ = 302552008704.

The previous prime is 1136151645119. The next prime is 1136151645127. The reversal of 1136151645120 is 215461516311.

1136151645120 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 1 + 5 + 1 + 645 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1136151645127) 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 39 ways as a sum of consecutive naturals, for example, 18813694 + ... + 18873986.

Almost surely, 2^{1136151645120} is an apocalyptic number.

1136151645120 is a gapful number since it is divisible by the number (10) 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 1136151645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023558769232).

1136151645120 is an abundant number, since it is smaller than the sum of its proper divisors (2910965893344).

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

1136151645120 is an equidigital number, since it uses as much as digits as its factorization.

1136151645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61049 (or 61030 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1136151645120 in words is "one trillion, one hundred thirty-six billion, one hundred fifty-one million, six hundred forty-five thousand, one hundred twenty".