135219024 has 160 divisors (see below), whose sum is σ = 419020800. Its totient is φ = 41627520.

The previous prime is 135219017. The next prime is 135219031. The reversal of 135219024 is 420912531.

It is an interprime number because it is at equal distance from previous prime (135219017) and next prime (135219031).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307797 + ... + 308235.

It is an arithmetic number, because the mean of its divisors is an integer number (2618880).

Almost surely, 2^135219024 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 135219024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209510400).

135219024 is an abundant number, since it is smaller than the sum of its proper divisors (283801776).

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

135219024 is a wasteful number, since it uses less digits than its factorization.

135219024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 135219024 is about 11628.3715110930. The cubic root of 135219024 is about 513.2700606034.

The spelling of 135219024 in words is "one hundred thirty-five million, two hundred nineteen thousand, twenty-four".