135324513064 has 128 divisors (see below), whose sum is σ = 285055303680. Its totient is φ = 59819904000.

The previous prime is 135324513061. The next prime is 135324513089. The reversal of 135324513064 is 460315423531.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (135324513061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74230857 + ... + 74232679.

It is an arithmetic number, because the mean of its divisors is an integer number (2226994560).

Almost surely, 2^135324513064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135324513064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142527651840).

135324513064 is an abundant number, since it is smaller than the sum of its proper divisors (149730790616).

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

135324513064 is a wasteful number, since it uses less digits than its factorization.

135324513064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 135324513064 its reverse (460315423531), we get a palindrome (595639936595).

The spelling of 135324513064 in words is "one hundred thirty-five billion, three hundred twenty-four million, five hundred thirteen thousand, sixty-four".