136132419136 has 224 divisors, whose sum is σ = 328278085632. Its totient is φ = 54752839680.

The previous prime is 136132419047. The next prime is 136132419161. The reversal of 136132419136 is 631914231631.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231911835 + ... + 231912421.

It is an arithmetic number, because the mean of its divisors is an integer number (1465527168).

Almost surely, 2^136132419136 is an apocalyptic number.

136132419136 is a gapful number since it is divisible by the number (16) 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 136132419136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164139042816).

136132419136 is an abundant number, since it is smaller than the sum of its proper divisors (192145666496).

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

136132419136 is a wasteful number, since it uses less digits than its factorization.

136132419136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1007 counting only the distinct ones).

The product of its digits is 69984, while the sum is 40.

The spelling of 136132419136 in words is "one hundred thirty-six billion, one hundred thirty-two million, four hundred nineteen thousand, one hundred thirty-six".