135243211501300 has 144 divisors (see below), whose sum is σ = 335918140418560. Its totient is φ = 46297946096640.

The previous prime is 135243211501273. The next prime is 135243211501303. The reversal of 135243211501300 is 3105112342531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135243211501303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1705875061 + ... + 1705954339.

Almost surely, 2^{135243211501300} is an apocalyptic number.

135243211501300 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 135243211501300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167959070209280).

135243211501300 is an abundant number, since it is smaller than the sum of its proper divisors (200674928917260).

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

135243211501300 is a wasteful number, since it uses less digits than its factorization.

135243211501300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83010 (or 83003 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 135243211501300 its reverse (3105112342531), we get a palindrome (138348323843831).

The spelling of 135243211501300 in words is "one hundred thirty-five trillion, two hundred forty-three billion, two hundred eleven million, five hundred one thousand, three hundred".