135415120 has 40 divisors (see below), whose sum is σ = 320013000. Its totient is φ = 53276160.

The previous prime is 135415117. The next prime is 135415171. The reversal of 135415120 is 21514531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1411344 + 134003776 = 1188^2 + 11576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×135415120² = 36674509449228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135415091 and 135415100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8995 + ... + 18754.

It is an arithmetic number, because the mean of its divisors is an integer number (8000325).

Almost surely, 2^135415120 is an apocalyptic number.

135415120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135415120 is an abundant number, since it is smaller than the sum of its proper divisors (184597880).

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

135415120 is a wasteful number, since it uses less digits than its factorization.

135415120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27823 (or 27817 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 135415120 is about 11636.8002474907. The cubic root of 135415120 is about 513.5180572421.

Adding to 135415120 its reverse (21514531), we get a palindrome (156929651).

The spelling of 135415120 in words is "one hundred thirty-five million, four hundred fifteen thousand, one hundred twenty".