135314010 has 128 divisors (see below), whose sum is σ = 409248000. Its totient is φ = 31539456.

The previous prime is 135313979. The next prime is 135314057. The reversal of 135314010 is 10413531.

135314010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65676 + ... + 67704.

It is an arithmetic number, because the mean of its divisors is an integer number (3197250).

Almost surely, 2^135314010 is an apocalyptic number.

135314010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135314010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204624000).

135314010 is an abundant number, since it is smaller than the sum of its proper divisors (273933990).

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

135314010 is a wasteful number, since it uses less digits than its factorization.

135314010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135314010 is about 11632.4550289266. The cubic root of 135314010 is about 513.3902164247.

Adding to 135314010 its reverse (10413531), we get a palindrome (145727541).

The spelling of 135314010 in words is "one hundred thirty-five million, three hundred fourteen thousand, ten".