136398636000 has 1152 divisors, whose sum is σ = 560477159424. Its totient is φ = 31104000000.

The previous prime is 136398635921. The next prime is 136398636037. The reversal of 136398636000 is 636893631.

136398636000 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 9 + 8 + 636 + 0 + 0 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 503315865 + ... + 503316135.

It is an arithmetic number, because the mean of its divisors is an integer number (486525312).

Almost surely, 2^136398636000 is an apocalyptic number.

136398636000 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 136398636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280238579712).

136398636000 is an abundant number, since it is smaller than the sum of its proper divisors (424078523424).

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

136398636000 is a wasteful number, since it uses less digits than its factorization.

136398636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 136398636000 in words is "one hundred thirty-six billion, three hundred ninety-eight million, six hundred thirty-six thousand".