135200415 has 16 divisors (see below), whose sum is σ = 247223808. Its totient is φ = 61805856.

The previous prime is 135200399. The next prime is 135200419. The reversal of 135200415 is 514002531.

It is not a de Polignac number, because 135200415 - 2⁴ = 135200399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 135200391 and 135200400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135200419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 643707 + ... + 643916.

It is an arithmetic number, because the mean of its divisors is an integer number (15451488).

Almost surely, 2^135200415 is an apocalyptic number.

135200415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135200415 is a deficient number, since it is larger than the sum of its proper divisors (112023393).

135200415 is a wasteful number, since it uses less digits than its factorization.

135200415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287638.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 135200415 is about 11627.5713285277. The cubic root of 135200415 is about 513.2465139148.

Adding to 135200415 its reverse (514002531), we get a palindrome (649202946).

The spelling of 135200415 in words is "one hundred thirty-five million, two hundred thousand, four hundred fifteen".