136034880 has 224 divisors, whose sum is σ = 462613248. Its totient is φ = 33792000.

The previous prime is 136034879. The next prime is 136034887. The reversal of 136034880 is 88430631.

It is a super-3 number, since 3×136034880³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (136034887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1346830 + ... + 1346930.

Almost surely, 2^136034880 is an apocalyptic number.

136034880 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 136034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231306624).

136034880 is an abundant number, since it is smaller than the sum of its proper divisors (326578368).

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

136034880 is a wasteful number, since it uses less digits than its factorization.

136034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 136034880 is about 11663.3991614795. The cubic root of 136034880 is about 514.3002782472.

The spelling of 136034880 in words is "one hundred thirty-six million, thirty-four thousand, eight hundred eighty".