136806469632 has 468 divisors, whose sum is σ = 468689183820. Its totient is φ = 38323224576.

The previous prime is 136806469627. The next prime is 136806469637. The reversal of 136806469632 is 236964608631.

It is an interprime number because it is at equal distance from previous prime (136806469627) and next prime (136806469637).

It can be written as a sum of positive squares in 2 ways, for example, as 48583213056 + 88223256576 = 220416^2 + 297024^2 .

It is not an unprimeable number, because it can be changed into a prime (136806469637) 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, 95735094 + ... + 95736522.

It is an arithmetic number, because the mean of its divisors is an integer number (1001472615).

Almost surely, 2^136806469632 is an apocalyptic number.

136806469632 is a gapful number since it is divisible by the number (12) 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 136806469632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234344591910).

136806469632 is an abundant number, since it is smaller than the sum of its proper divisors (331882714188).

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

136806469632 is a wasteful number, since it uses less digits than its factorization.

136806469632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 136806469632 in words is "one hundred thirty-six billion, eight hundred six million, four hundred sixty-nine thousand, six hundred thirty-two".