135114235400 has 192 divisors, whose sum is σ = 338486014080. Its totient is φ = 49974579200.

The previous prime is 135114235397. The next prime is 135114235427. The reversal of 135114235400 is 4532411531.

It is a super-2 number, since 2×135114235400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83764994 + ... + 83766606.

It is an arithmetic number, because the mean of its divisors is an integer number (1762947990).

Almost surely, 2^135114235400 is an apocalyptic number.

135114235400 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 135114235400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169243007040).

135114235400 is an abundant number, since it is smaller than the sum of its proper divisors (203371778680).

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

135114235400 is a wasteful number, since it uses less digits than its factorization.

135114235400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 135114235400 its reverse (4532411531), we get a palindrome (139646646931).

The spelling of 135114235400 in words is "one hundred thirty-five billion, one hundred fourteen million, two hundred thirty-five thousand, four hundred".