136331132784 has 240 divisors, whose sum is σ = 449906132736. Its totient is φ = 35175168000.

The previous prime is 136331132711. The next prime is 136331132789. The reversal of 136331132784 is 487231133631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136331132789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3889224 + ... + 3924120.

Almost surely, 2^136331132784 is an apocalyptic number.

136331132784 is a gapful number since it is divisible by the number (14) 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 136331132784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224953066368).

136331132784 is an abundant number, since it is smaller than the sum of its proper divisors (313574999952).

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

136331132784 is a wasteful number, since it uses less digits than its factorization.

136331132784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35084 (or 35071 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The spelling of 136331132784 in words is "one hundred thirty-six billion, three hundred thirty-one million, one hundred thirty-two thousand, seven hundred eighty-four".