135202120 has 32 divisors (see below), whose sum is σ = 306156600. Its totient is φ = 53733888.

The previous prime is 135202069. The next prime is 135202163. The reversal of 135202120 is 21202531.

It can be written as a sum of positive squares in 4 ways, for example, as 71808676 + 63393444 = 8474^2 + 7962^2 .

It is a super-2 number, since 2×135202120² = 36559226504988800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135202094 and 135202103.

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, 4485 + ... + 17044.

Almost surely, 2^135202120 is an apocalyptic number.

135202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135202120 is an abundant number, since it is smaller than the sum of its proper divisors (170954480).

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

135202120 is a wasteful number, since it uses less digits than its factorization.

135202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21697 (or 21693 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 135202120 is about 11627.6446454129. The cubic root of 135202120 is about 513.2486714073.

Adding to 135202120 its reverse (21202531), we get a palindrome (156404651).

The spelling of 135202120 in words is "one hundred thirty-five million, two hundred two thousand, one hundred twenty".