135200538 has 48 divisors (see below), whose sum is σ = 321493536. Its totient is φ = 40722720.

The previous prime is 135200537. The next prime is 135200539. The reversal of 135200538 is 835002531.

It is an interprime number because it is at equal distance from previous prime (135200537) and next prime (135200539).

It is not an unprimeable number, because it can be changed into a prime (135200531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32281 + ... + 36227.

It is an arithmetic number, because the mean of its divisors is an integer number (6697782).

Almost surely, 2^135200538 is an apocalyptic number.

135200538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135200538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160746768).

135200538 is an abundant number, since it is smaller than the sum of its proper divisors (186292998).

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

135200538 is a wasteful number, since it uses less digits than its factorization.

135200538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 135200538 is about 11627.5766176792. The cubic root of 135200538 is about 513.2466695586.

The spelling of 135200538 in words is "one hundred thirty-five million, two hundred thousand, five hundred thirty-eight".