136413888 has 224 divisors, whose sum is σ = 420575232. Its totient is φ = 38707200.

The previous prime is 136413887. The next prime is 136413889. The reversal of 136413888 is 888314631.

It is an interprime number because it is at equal distance from previous prime (136413887) and next prime (136413889).

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

It is not an unprimeable number, because it can be changed into a prime (136413887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3172395 + ... + 3172437.

It is an arithmetic number, because the mean of its divisors is an integer number (1877568).

Almost surely, 2^136413888 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 136413888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210287616).

136413888 is an abundant number, since it is smaller than the sum of its proper divisors (284161344).

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

136413888 is a wasteful number, since it uses less digits than its factorization.

136413888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 136413888 is about 11679.6356107543. The cubic root of 136413888 is about 514.7774675610. Note that the first 3 decimals are identical.

The spelling of 136413888 in words is "one hundred thirty-six million, four hundred thirteen thousand, eight hundred eighty-eight".