135510114000 has 320 divisors, whose sum is σ = 461492748288. Its totient is φ = 34155072000.

The previous prime is 135510113993. The next prime is 135510114007. The reversal of 135510114000 is 411015531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135510113993) and next prime (135510114007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135510114007) 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, 7989529 + ... + 8006471.

Almost surely, 2^135510114000 is an apocalyptic number.

135510114000 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 135510114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230746374144).

135510114000 is an abundant number, since it is smaller than the sum of its proper divisors (325982634288).

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

135510114000 is a wasteful number, since it uses less digits than its factorization.

135510114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17043 (or 17027 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 135510114000 its reverse (411015531), we get a palindrome (135921129531).

The spelling of 135510114000 in words is "one hundred thirty-five billion, five hundred ten million, one hundred fourteen thousand".