135515952 has 120 divisors (see below), whose sum is σ = 445627728. Its totient is φ = 37900800.

The previous prime is 135515929. The next prime is 135515969. The reversal of 135515952 is 259515531.

135515952 is a `hidden beast` number, since 1 + 3 + 551 + 59 + 52 = 666.

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 23 ways as a sum of consecutive naturals, for example, 17302 + ... + 23882.

Almost surely, 2^135515952 is an apocalyptic number.

135515952 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 135515952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222813864).

135515952 is an abundant number, since it is smaller than the sum of its proper divisors (310111776).

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

135515952 is a wasteful number, since it uses less digits than its factorization.

135515952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6619 (or 6610 counting only the distinct ones).

The product of its digits is 33750, while the sum is 36.

The square root of 135515952 is about 11641.1319037283. The cubic root of 135515952 is about 513.6454832052.

It can be divided in two parts, 13551 and 5952, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 135515952 in words is "one hundred thirty-five million, five hundred fifteen thousand, nine hundred fifty-two".