135150624 has 216 divisors, whose sum is σ = 457306668. Its totient is φ = 37739520.

The previous prime is 135150623. The next prime is 135150641. The reversal of 135150624 is 426051531.

135150624 is a `hidden beast` number, since 1 + 35 + 1 + 5 + 0 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113806224 + 21344400 = 10668^2 + 4620^2 .

It is not an unprimeable number, because it can be changed into a prime (135150623) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 860754 + ... + 860910.

Almost surely, 2^135150624 is an apocalyptic number.

135150624 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 135150624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228653334).

135150624 is an abundant number, since it is smaller than the sum of its proper divisors (322156044).

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

135150624 is a wasteful number, since it uses less digits than its factorization.

135150624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 135150624 is about 11625.4300565613. The cubic root of 135150624 is about 513.1835008072.

The spelling of 135150624 in words is "one hundred thirty-five million, one hundred fifty thousand, six hundred twenty-four".