136464606947088 has 480 divisors, whose sum is σ = 463425898129920. Its totient is φ = 38330561767680.

The previous prime is 136464606947069. The next prime is 136464606947093. The reversal of 136464606947088 is 880749606464631.

136464606947088 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 6 + 4 + 606 + 9 + 4 + 7 + 0 + 8 + 8 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 296481895 + ... + 296941817.

It is an arithmetic number, because the mean of its divisors is an integer number (965470621104).

Almost surely, 2^{136464606947088} is an apocalyptic number.

136464606947088 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 136464606947088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231712949064960).

136464606947088 is an abundant number, since it is smaller than the sum of its proper divisors (326961291182832).

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

136464606947088 is a wasteful number, since it uses less digits than its factorization.

136464606947088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460192 (or 460173 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 136464606947088 in words is "one hundred thirty-six trillion, four hundred sixty-four billion, six hundred six million, nine hundred forty-seven thousand, eighty-eight".