135034135500 has 384 divisors, whose sum is σ = 454647997440. Its totient is φ = 30831360000.

The previous prime is 135034135393. The next prime is 135034135517. The reversal of 135034135500 is 5531430531.

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

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, 19615059 + ... + 19621941.

It is an arithmetic number, because the mean of its divisors is an integer number (1183979160).

Almost surely, 2^135034135500 is an apocalyptic number.

135034135500 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 135034135500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227323998720).

135034135500 is an abundant number, since it is smaller than the sum of its proper divisors (319613861940).

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

135034135500 is a wasteful number, since it uses less digits than its factorization.

135034135500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6986 (or 6974 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 135034135500 in words is "one hundred thirty-five billion, thirty-four million, one hundred thirty-five thousand, five hundred".