136964947968 has 540 divisors, whose sum is σ = 436248828288. Its totient is φ = 41352560640.

The previous prime is 136964947927. The next prime is 136964947969. The reversal of 136964947968 is 869749469631.

136964947968 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 6 + 494 + 79 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 136964947896 and 136964947905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136964947969) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1650180055 + ... + 1650180137.

Almost surely, 2^136964947968 is an apocalyptic number.

136964947968 is a gapful number since it is divisible by the number (18) 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 136964947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218124414144).

136964947968 is an abundant number, since it is smaller than the sum of its proper divisors (299283880320).

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

136964947968 is an equidigital number, since it uses as much as digits as its factorization.

136964947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 138 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 136964947968 in words is "one hundred thirty-six billion, nine hundred sixty-four million, nine hundred forty-seven thousand, nine hundred sixty-eight".