135415152 has 120 divisors (see below), whose sum is σ = 406901040. Its totient is φ = 43545600.

The previous prime is 135415117. The next prime is 135415171. The reversal of 135415152 is 251514531.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112152 + ... + 113352.

It is an arithmetic number, because the mean of its divisors is an integer number (3390842).

Almost surely, 2^135415152 is an apocalyptic number.

135415152 is a gapful number since it is divisible by the number (12) 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 135415152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203450520).

135415152 is an abundant number, since it is smaller than the sum of its proper divisors (271485888).

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

135415152 is a wasteful number, since it uses less digits than its factorization.

135415152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1235 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 135415152 is about 11636.8016224390. The cubic root of 135415152 is about 513.5180976920.

Adding to 135415152 its reverse (251514531), we get a palindrome (386929683).

The spelling of 135415152 in words is "one hundred thirty-five million, four hundred fifteen thousand, one hundred fifty-two".