136768128 has 256 divisors, whose sum is σ = 456503040. Its totient is φ = 35389440.

The previous prime is 136768127. The next prime is 136768129. The reversal of 136768128 is 821867631.

It is an interprime number because it is at equal distance from previous prime (136768127) and next prime (136768129).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 136768128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136768127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1873500 + ... + 1873572.

It is an arithmetic number, because the mean of its divisors is an integer number (1783215).

Almost surely, 2^136768128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228251520).

136768128 is an abundant number, since it is smaller than the sum of its proper divisors (319734912).

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

136768128 is a wasteful number, since it uses less digits than its factorization.

136768128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 136768128 is about 11694.7906351503. The cubic root of 136768128 is about 515.2226743104. Note that the first 3 decimals are identical.

The spelling of 136768128 in words is "one hundred thirty-six million, seven hundred sixty-eight thousand, one hundred twenty-eight".