136947328560 has 600 divisors, whose sum is σ = 571182834816. Its totient is φ = 30290319360.

The previous prime is 136947328549. The next prime is 136947328597. The reversal of 136947328560 is 65823749631.

136947328560 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 4 + 73 + 2 + 8 + 560 = 666.

It is a super-3 number, since 3×136947328560³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 136947328497 and 136947328506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9836164 + ... + 9850076.

It is a 2-persistent number, because it is pandigital, and so is 2⋅136947328560 = 273894657120, but 3⋅136947328560 = 410841985680 is not.

Almost surely, 2^136947328560 is an apocalyptic number.

136947328560 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 136947328560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285591417408).

136947328560 is an abundant number, since it is smaller than the sum of its proper divisors (434235506256).

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

136947328560 is a wasteful number, since it uses less digits than its factorization.

136947328560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13983 (or 13961 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 136947328560 in words is "one hundred thirty-six billion, nine hundred forty-seven million, three hundred twenty-eight thousand, five hundred sixty".