135033696 has 192 divisors, whose sum is σ = 457228800. Its totient is φ = 37974528.

The previous prime is 135033671. The next prime is 135033709. The reversal of 135033696 is 696330531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135033696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501850 + ... + 502118.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^135033696 is an apocalyptic number.

135033696 is a gapful number since it is divisible by the number (16) 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 135033696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228614400).

135033696 is an abundant number, since it is smaller than the sum of its proper divisors (322195104).

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

135033696 is a wasteful number, since it uses less digits than its factorization.

135033696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 135033696 is about 11620.3999931156. The cubic root of 135033696 is about 513.0354614521.

The spelling of 135033696 in words is "one hundred thirty-five million, thirty-three thousand, six hundred ninety-six".