135319295250 has 256 divisors, whose sum is σ = 392739010560. Its totient is φ = 34444051200.

The previous prime is 135319295207. The next prime is 135319295261. The reversal of 135319295250 is 52592913531.

135319295250 is a `hidden beast` number, since 1 + 3 + 5 + 31 + 92 + 9 + 525 + 0 = 666.

135319295250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135319295250² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 135319295196 and 135319295205.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13231639 + ... + 13241861.

It is an arithmetic number, because the mean of its divisors is an integer number (1534136760).

Almost surely, 2^135319295250 is an apocalyptic number.

135319295250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135319295250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196369505280).

135319295250 is an abundant number, since it is smaller than the sum of its proper divisors (257419715310).

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

135319295250 is a wasteful number, since it uses less digits than its factorization.

135319295250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10339 (or 10323 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 135319295250 in words is "one hundred thirty-five billion, three hundred nineteen million, two hundred ninety-five thousand, two hundred fifty".