135331500 has 96 divisors (see below), whose sum is σ = 399200256. Its totient is φ = 35620800.

The previous prime is 135331453. The next prime is 135331501. The reversal of 135331500 is 5133531.

It is a happy number.

It is a super-2 number, since 2×135331500² = 36629229784500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135331501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123957 + ... + 125043.

It is an arithmetic number, because the mean of its divisors is an integer number (4158336).

Almost surely, 2^135331500 is an apocalyptic number.

135331500 is a gapful number since it is divisible by the number (10) 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 135331500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199600128).

135331500 is an abundant number, since it is smaller than the sum of its proper divisors (263868756).

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

135331500 is a wasteful number, since it uses less digits than its factorization.

135331500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 135331500 is about 11633.2067805915. The cubic root of 135331500 is about 513.4123348736.

The spelling of 135331500 in words is "one hundred thirty-five million, three hundred thirty-one thousand, five hundred".