114620165136 has 135 divisors (see below), whose sum is σ = 325448645431. Its totient is φ = 37658260992.

The previous prime is 114620165131. The next prime is 114620165167. The reversal of 114620165136 is 631561026411.

The square root of 114620165136 is 338556.

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

114620165136 is a `hidden beast` number, since 1 + 1 + 4 + 620 + 16 + 5 + 13 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67901936400 + 46718228736 = 260580^2 + 216144^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114620165136.

It is not an unprimeable number, because it can be changed into a prime (114620165131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 361577650 + ... + 361577966.

Almost surely, 2^114620165136 is an apocalyptic number.

114620165136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

114620165136 is the 338556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114620165136

114620165136 is an abundant number, since it is smaller than the sum of its proper divisors (210828480295).

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

114620165136 is an frugal number, since it uses more digits than its factorization.

114620165136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 114620165136 by its sum of digits (36), we get a square (4126325944896 = 2031336²).

114620165136 divided by its sum of digits (36) gives a square (3183893476 = 56426²).

The spelling of 114620165136 in words is "one hundred fourteen billion, six hundred twenty million, one hundred sixty-five thousand, one hundred thirty-six".