136459186000800 has 576 divisors, whose sum is σ = 480555348489216. Its totient is φ = 33434660044800.

The previous prime is 136459186000733. The next prime is 136459186000801. The reversal of 136459186000800 is 8000681954631.

It is a super-2 number, since 2×136459186000800² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136459186000801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27166867089 + ... + 27166872111.

It is an arithmetic number, because the mean of its divisors is an integer number (834297480016).

Almost surely, 2^{136459186000800} is an apocalyptic number.

136459186000800 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 136459186000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240277674244608).

136459186000800 is an abundant number, since it is smaller than the sum of its proper divisors (344096162488416).

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

136459186000800 is a wasteful number, since it uses less digits than its factorization.

136459186000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8913 (or 8900 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 136459186000800 in words is "one hundred thirty-six trillion, four hundred fifty-nine billion, one hundred eighty-six million, eight hundred", and thus it is an aban number.