135553824 has 240 divisors, whose sum is σ = 472260096. Its totient is φ = 37324800.

The previous prime is 135553819. The next prime is 135553837. The reversal of 135553824 is 428355531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562344 + ... + 562584.

Almost surely, 2^135553824 is an apocalyptic number.

135553824 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 135553824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236130048).

135553824 is an abundant number, since it is smaller than the sum of its proper divisors (336706272).

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

135553824 is a wasteful number, since it uses less digits than its factorization.

135553824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 284 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 135553824 is about 11642.7584360408. The cubic root of 135553824 is about 513.6933274371.

The spelling of 135553824 in words is "one hundred thirty-five million, five hundred fifty-three thousand, eight hundred twenty-four".