136909670688 has 360 divisors, whose sum is σ = 473257214892. Its totient is φ = 38710296576.

The previous prime is 136909670669. The next prime is 136909670743. The reversal of 136909670688 is 886076909631.

It can be written as a sum of positive squares in 2 ways, for example, as 117629792784 + 19279877904 = 342972^2 + 138852^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12314220 + ... + 12325332.

Almost surely, 2^136909670688 is an apocalyptic number.

136909670688 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 136909670688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236628607446).

136909670688 is an abundant number, since it is smaller than the sum of its proper divisors (336347544204).

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

136909670688 is a wasteful number, since it uses less digits than its factorization.

136909670688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11246 (or 11222 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 136909670688 in words is "one hundred thirty-six billion, nine hundred nine million, six hundred seventy thousand, six hundred eighty-eight".