135515772 has 108 divisors (see below), whose sum is σ = 422014320. Its totient is φ = 36433152.

The previous prime is 135515759. The next prime is 135515819. The reversal of 135515772 is 277515531.

It is a happy number.

135515772 is a `hidden beast` number, since 1 + 35 + 51 + 577 + 2 = 666.

135515772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27729 + ... + 32247.

It is an arithmetic number, because the mean of its divisors is an integer number (3907540).

Almost surely, 2^135515772 is an apocalyptic number.

135515772 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 135515772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211007160).

135515772 is an abundant number, since it is smaller than the sum of its proper divisors (286498548).

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

135515772 is a wasteful number, since it uses less digits than its factorization.

135515772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 4548 counting only the distinct ones).

The product of its digits is 36750, while the sum is 36.

The square root of 135515772 is about 11641.1241725187. The cubic root of 135515772 is about 513.6452557874.

The spelling of 135515772 in words is "one hundred thirty-five million, five hundred fifteen thousand, seven hundred seventy-two".