136041158880 has 864 divisors, whose sum is σ = 544329362304. Its totient is φ = 31819392000.

The previous prime is 136041158863. The next prime is 136041158909. The reversal of 136041158880 is 88851140631.

136041158880 is a `hidden beast` number, since 1 + 3 + 60 + 4 + 1 + 1 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 411000315 + ... + 411000645.

It is an arithmetic number, because the mean of its divisors is an integer number (630010836).

Almost surely, 2^136041158880 is an apocalyptic number.

136041158880 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 136041158880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272164681152).

136041158880 is an abundant number, since it is smaller than the sum of its proper divisors (408288203424).

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

136041158880 is a wasteful number, since it uses less digits than its factorization.

136041158880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 136041158880 in words is "one hundred thirty-six billion, forty-one million, one hundred fifty-eight thousand, eight hundred eighty".