135526824 has 64 divisors (see below), whose sum is σ = 379080000. Its totient is φ = 44861760.

The previous prime is 135526801. The next prime is 135526843. The reversal of 135526824 is 428625531.

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

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 15 ways as a sum of consecutive naturals, for example, 30079 + ... + 34289.

It is an arithmetic number, because the mean of its divisors is an integer number (5923125).

Almost surely, 2^135526824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135526824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189540000).

135526824 is an abundant number, since it is smaller than the sum of its proper divisors (243553176).

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

135526824 is a wasteful number, since it uses less digits than its factorization.

135526824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4365 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 135526824 is about 11641.5988592633. The cubic root of 135526824 is about 513.6592188683.

The spelling of 135526824 in words is "one hundred thirty-five million, five hundred twenty-six thousand, eight hundred twenty-four".