135214011300 has 144 divisors (see below), whose sum is σ = 404974080000. Its totient is φ = 34795881600.

The previous prime is 135214011299. The next prime is 135214011301. The reversal of 135214011300 is 3110412531.

It is an interprime number because it is at equal distance from previous prime (135214011299) and next prime (135214011301).

It is not an unprimeable number, because it can be changed into a prime (135214011301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3318451 + ... + 3358949.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320000).

Almost surely, 2^135214011300 is an apocalyptic number.

135214011300 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 135214011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040000).

135214011300 is an abundant number, since it is smaller than the sum of its proper divisors (269760068700).

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

135214011300 is a wasteful number, since it uses less digits than its factorization.

135214011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40906 (or 40899 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 135214011300 its reverse (3110412531), we get a palindrome (138324423831).

The spelling of 135214011300 in words is "one hundred thirty-five billion, two hundred fourteen million, eleven thousand, three hundred".