136147747016064 has 512 divisors, whose sum is σ = 443066763110400. Its totient is φ = 36191407177728.

The previous prime is 136147747016053. The next prime is 136147747016107. The reversal of 136147747016064 is 460610747741631.

It is a junction number, because it is equal to n+sod(n) for n = 136147747015995 and 136147747016013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9811029094 + ... + 9811042970.

It is an arithmetic number, because the mean of its divisors is an integer number (865364771700).

Almost surely, 2^{136147747016064} is an apocalyptic number.

136147747016064 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 136147747016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221533381555200).

136147747016064 is an abundant number, since it is smaller than the sum of its proper divisors (306919016094336).

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

136147747016064 is a wasteful number, since it uses less digits than its factorization.

136147747016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18250 (or 18238 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 136147747016064 in words is "one hundred thirty-six trillion, one hundred forty-seven billion, seven hundred forty-seven million, sixteen thousand, sixty-four".