135314500 has 48 divisors (see below), whose sum is σ = 296897328. Its totient is φ = 53875200.

The previous prime is 135314483. The next prime is 135314519. The reversal of 135314500 is 5413531.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 33385284 + 101929216 = 5778^2 + 10096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138012 + ... + 138988.

It is an arithmetic number, because the mean of its divisors is an integer number (6185361).

Almost surely, 2^135314500 is an apocalyptic number.

135314500 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 135314500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148448664).

135314500 is an abundant number, since it is smaller than the sum of its proper divisors (161582828).

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

135314500 is a wasteful number, since it uses less digits than its factorization.

135314500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 135314500 is about 11632.4760906696. The cubic root of 135314500 is about 513.3908361213.

The spelling of 135314500 in words is "one hundred thirty-five million, three hundred fourteen thousand, five hundred".