136118072160 has 576 divisors, whose sum is σ = 555628248000. Its totient is φ = 31032336384.

The previous prime is 136118072119. The next prime is 136118072213. The reversal of 136118072160 is 61270811631.

136118072160 is a `hidden beast` number, since 1 + 361 + 1 + 80 + 7 + 216 + 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 an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 129759316 + ... + 129760364.

It is an arithmetic number, because the mean of its divisors is an integer number (964632375).

Almost surely, 2^136118072160 is an apocalyptic number.

136118072160 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 136118072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277814124000).

136118072160 is an abundant number, since it is smaller than the sum of its proper divisors (419510175840).

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

136118072160 is a wasteful number, since it uses less digits than its factorization.

136118072160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 136118072160 its reverse (61270811631), we get a palindrome (197388883791).

The spelling of 136118072160 in words is "one hundred thirty-six billion, one hundred eighteen million, seventy-two thousand, one hundred sixty".