135798624 has 288 divisors, whose sum is σ = 462309120. Its totient is φ = 37407744.

The previous prime is 135798623. The next prime is 135798653. The reversal of 135798624 is 426897531.

135798624 is a `hidden beast` number, since 13 + 5 + 7 + 9 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 135798624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135798623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1636087 + ... + 1636169.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^135798624 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 135798624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

135798624 is an abundant number, since it is smaller than the sum of its proper divisors (326510496).

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

135798624 is a wasteful number, since it uses less digits than its factorization.

135798624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 135798624 is about 11653.2666664760. The cubic root of 135798624 is about 514.0023719654.

It can be divided in two parts, 13579862 and 4, that added together give a triangular number (13579866 = T₅₂₁₁).

The spelling of 135798624 in words is "one hundred thirty-five million, seven hundred ninety-eight thousand, six hundred twenty-four".