136460039040000 has 4400 divisors, whose sum is σ = 596282769659808. Its totient is φ = 30767579136000.

The previous prime is 136460039039969. The next prime is 136460039040001. The reversal of 136460039040000 is 40930064631.

136460039040000 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 600 + 3 + 9 + 0 + 40 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (136460039040001) by changing a digit.

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 399 ways as a sum of consecutive naturals, for example, 492635519862 + ... + 492635520138.

Almost surely, 2^{136460039040000} is an apocalyptic number.

136460039040000 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 136460039040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298141384829904).

136460039040000 is an abundant number, since it is smaller than the sum of its proper divisors (459822730619808).

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

136460039040000 is a wasteful number, since it uses less digits than its factorization.

136460039040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 136460039040000 in words is "one hundred thirty-six trillion, four hundred sixty billion, thirty-nine million, forty thousand".