136001157120 has 288 divisors, whose sum is σ = 472757463360. Its totient is φ = 36159160320.

The previous prime is 136001157079. The next prime is 136001157209. The reversal of 136001157120 is 21751100631.

136001157120 is a `hidden beast` number, since 1 + 3 + 60 + 0 + 11 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33820710 + ... + 33824730.

It is an arithmetic number, because the mean of its divisors is an integer number (1641518970).

Almost surely, 2^136001157120 is an apocalyptic number.

136001157120 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 136001157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236378731680).

136001157120 is an abundant number, since it is smaller than the sum of its proper divisors (336756306240).

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

136001157120 is a wasteful number, since it uses less digits than its factorization.

136001157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 136001157120 its reverse (21751100631), we get a palindrome (157752257751).

The spelling of 136001157120 in words is "one hundred thirty-six billion, one million, one hundred fifty-seven thousand, one hundred twenty".