1164120155136 has 99 divisors (see below), whose sum is σ = 3361670792571. Its totient is φ = 388005525504.

The previous prime is 1164120155123. The next prime is 1164120155141. The reversal of 1164120155136 is 6315510214611.

The square root of 1164120155136 is 1078944.

It is a perfect power (a square), and thus also a powerful number.

1164120155136 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 120 + 15 + 513 + 6 = 666.

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 1164120155136.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 103573005 + ... + 103584243.

Almost surely, 2^{1164120155136} is an apocalyptic number.

1164120155136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1164120155136 is the 1078944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1164120155136

1164120155136 is an abundant number, since it is smaller than the sum of its proper divisors (2197550637435).

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

1164120155136 is an frugal number, since it uses more digits than its factorization.

1164120155136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22504 (or 11244 counting only the distinct ones).

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

Multiplying 1164120155136 by its sum of digits (36), we get a square (41908325584896 = 6473664²).

1164120155136 divided by its sum of digits (36) gives a square (32336670976 = 179824²).

Adding to 1164120155136 its reverse (6315510214611), we get a palindrome (7479630369747).

The spelling of 1164120155136 in words is "one trillion, one hundred sixty-four billion, one hundred twenty million, one hundred fifty-five thousand, one hundred thirty-six".