135038904 has 288 divisors, whose sum is σ = 471234960. Its totient is φ = 31933440.

The previous prime is 135038903. The next prime is 135038921. The reversal of 135038904 is 409830531.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135038903) 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 71 ways as a sum of consecutive naturals, for example, 1849812 + ... + 1849884.

Almost surely, 2^135038904 is an apocalyptic number.

135038904 is a gapful number since it is divisible by the number (14) 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 135038904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235617480).

135038904 is an abundant number, since it is smaller than the sum of its proper divisors (336196056).

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

135038904 is a wasteful number, since it uses less digits than its factorization.

135038904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 135038904 is about 11620.6240796267. The cubic root of 135038904 is about 513.0420569770.

The spelling of 135038904 in words is "one hundred thirty-five million, thirty-eight thousand, nine hundred four".