135066336 has 48 divisors (see below), whose sum is σ = 355290768. Its totient is φ = 44928000.

The previous prime is 135066331. The next prime is 135066403. The reversal of 135066336 is 633660531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 135066297 and 135066306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135066331) 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 7 ways as a sum of consecutive naturals, for example, 56526 + ... + 58866.

It is an arithmetic number, because the mean of its divisors is an integer number (7401891).

Almost surely, 2^135066336 is an apocalyptic number.

135066336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135066336 is an abundant number, since it is smaller than the sum of its proper divisors (220224432).

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

135066336 is a wasteful number, since it uses less digits than its factorization.

135066336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 135066336 is about 11621.8043349559. The cubic root of 135066336 is about 513.0767946623.

The spelling of 135066336 in words is "one hundred thirty-five million, sixty-six thousand, three hundred thirty-six".