136286857728 has 960 divisors, whose sum is σ = 509864509440. Its totient is φ = 34111881216.

The previous prime is 136286857727. The next prime is 136286857753. The reversal of 136286857728 is 827758682631.

136286857728 is a `hidden beast` number, since 1 + 36 + 2 + 8 + 6 + 8 + 577 + 28 = 666.

It is a super-2 number, since 2×136286857728² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (136286857727) 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, 1073124801 + ... + 1073124927.

It is an arithmetic number, because the mean of its divisors is an integer number (531108864).

Almost surely, 2^136286857728 is an apocalyptic number.

136286857728 is a gapful number since it is divisible by the number (18) 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 136286857728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254932254720).

136286857728 is an abundant number, since it is smaller than the sum of its proper divisors (373577651712).

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

136286857728 is a wasteful number, since it uses less digits than its factorization.

136286857728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 278 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 136286857728 in words is "one hundred thirty-six billion, two hundred eighty-six million, eight hundred fifty-seven thousand, seven hundred twenty-eight".