136021519628064 has 288 divisors, whose sum is σ = 457029217741824. Its totient is φ = 37552030341120.

The previous prime is 136021519627967. The next prime is 136021519628087. The reversal of 136021519628064 is 460826915120631.

136021519628064 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 2 + 1 + 5 + 1 + 9 + 628 + 0 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 136021519628064.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39143362 + ... + 42476414.

It is an arithmetic number, because the mean of its divisors is an integer number (1586907006048).

Almost surely, 2^{136021519628064} is an apocalyptic number.

136021519628064 is a gapful number since it is divisible by the number (14) 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 136021519628064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228514608870912).

136021519628064 is an abundant number, since it is smaller than the sum of its proper divisors (321007698113760).

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

136021519628064 is a wasteful number, since it uses less digits than its factorization.

136021519628064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333760 (or 3333749 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 136021519628064 in words is "one hundred thirty-six trillion, twenty-one billion, five hundred nineteen million, six hundred twenty-eight thousand, sixty-four".