135921536 has 64 divisors (see below), whose sum is σ = 285461280. Its totient is φ = 64339968.

The previous prime is 135921523. The next prime is 135921553. The reversal of 135921536 is 635129531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×135921536³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135921496 and 135921505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403160 + ... + 403496.

Almost surely, 2^135921536 is an apocalyptic number.

135921536 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 135921536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142730640).

135921536 is an abundant number, since it is smaller than the sum of its proper divisors (149539744).

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

135921536 is a wasteful number, since it uses less digits than its factorization.

135921536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 499 counting only the distinct ones).

The product of its digits is 24300, while the sum is 35.

The square root of 135921536 is about 11658.5391880801. The cubic root of 135921536 is about 514.1574005576.

The spelling of 135921536 in words is "one hundred thirty-five million, nine hundred twenty-one thousand, five hundred thirty-six".