135314431320 has 256 divisors, whose sum is σ = 419988602880. Its totient is φ = 34856640000.

The previous prime is 135314431313. The next prime is 135314431321. The reversal of 135314431320 is 23134413531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135314431321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247375287 + ... + 247375833.

It is an arithmetic number, because the mean of its divisors is an integer number (1640580480).

Almost surely, 2^135314431320 is an apocalyptic number.

135314431320 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 135314431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209994301440).

135314431320 is an abundant number, since it is smaller than the sum of its proper divisors (284674171560).

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

135314431320 is a wasteful number, since it uses less digits than its factorization.

135314431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 135314431320 its reverse (23134413531), we get a palindrome (158448844851).

The spelling of 135314431320 in words is "one hundred thirty-five billion, three hundred fourteen million, four hundred thirty-one thousand, three hundred twenty".