136664136840 has 512 divisors, whose sum is σ = 530207907840. Its totient is φ = 27354931200.

The previous prime is 136664136809. The next prime is 136664136853. The reversal of 136664136840 is 48631466631.

It is a self number, because there is not a number n which added to its sum of digits gives 136664136840.

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 127 ways as a sum of consecutive naturals, for example, 35211700 + ... + 35215580.

It is an arithmetic number, because the mean of its divisors is an integer number (1035562320).

Almost surely, 2^136664136840 is an apocalyptic number.

136664136840 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 136664136840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265103953920).

136664136840 is an abundant number, since it is smaller than the sum of its proper divisors (393543771000).

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

136664136840 is a wasteful number, since it uses less digits than its factorization.

136664136840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

Subtracting from 136664136840 its reverse (48631466631), we obtain a square (88032670209 = 296703²).

The spelling of 136664136840 in words is "one hundred thirty-six billion, six hundred sixty-four million, one hundred thirty-six thousand, eight hundred forty".