135315200340 has 288 divisors, whose sum is σ = 439735226112. Its totient is φ = 33597696000.

The previous prime is 135315200333. The next prime is 135315200341. The reversal of 135315200340 is 43002513531.

135315200340 is a `hidden beast` number, since 1 + 3 + 5 + 315 + 2 + 0 + 0 + 340 = 666.

It is a super-2 number, since 2×135315200340² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135315200341) 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 95 ways as a sum of consecutive naturals, for example, 139356055 + ... + 139357025.

It is an arithmetic number, because the mean of its divisors is an integer number (1526858424).

Almost surely, 2^135315200340 is an apocalyptic number.

135315200340 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 135315200340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219867613056).

135315200340 is an abundant number, since it is smaller than the sum of its proper divisors (304420025772).

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

135315200340 is a wasteful number, since it uses less digits than its factorization.

135315200340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 135315200340 its reverse (43002513531), we get a palindrome (178317713871).

The spelling of 135315200340 in words is "one hundred thirty-five billion, three hundred fifteen million, two hundred thousand, three hundred forty".