135559872 has 168 divisors, whose sum is σ = 463875120. Its totient is φ = 38707200.

The previous prime is 135559871. The next prime is 135559883. The reversal of 135559872 is 278955531.

135559872 is a `hidden beast` number, since 1 + 3 + 55 + 598 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×135559872³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (135559871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83872 + ... + 85472.

Almost surely, 2^135559872 is an apocalyptic number.

135559872 is a gapful number since it is divisible by the number (12) 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 135559872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231937560).

135559872 is an abundant number, since it is smaller than the sum of its proper divisors (328315248).

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

135559872 is a wasteful number, since it uses less digits than its factorization.

135559872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1613 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 135559872 is about 11643.0181654071. The cubic root of 135559872 is about 513.7009671356.

The spelling of 135559872 in words is "one hundred thirty-five million, five hundred fifty-nine thousand, eight hundred seventy-two".