135355410000 has 300 divisors, whose sum is σ = 480443858752. Its totient is φ = 35554464000.

The previous prime is 135355409989. The next prime is 135355410011. The reversal of 135355410000 is 14553531.

135355410000 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 554 + 100 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135355409989) and next prime (135355410011).

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6018777 + ... + 6041223.

Almost surely, 2^135355410000 is an apocalyptic number.

135355410000 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 135355410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240221929376).

135355410000 is an abundant number, since it is smaller than the sum of its proper divisors (345088448752).

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

135355410000 is a wasteful number, since it uses less digits than its factorization.

135355410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22548 (or 22524 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 135355410000 its reverse (14553531), we get a palindrome (135369963531).

The spelling of 135355410000 in words is "one hundred thirty-five billion, three hundred fifty-five million, four hundred ten thousand".