135135262700 has 72 divisors (see below), whose sum is σ = 310751798112. Its totient is φ = 50832071680.

The previous prime is 135135262699. The next prime is 135135262709. The reversal of 135135262700 is 7262531531.

It is a super-3 number, since 3×135135262700³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (135135262709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2046602 + ... + 2111598.

It is an arithmetic number, because the mean of its divisors is an integer number (4315997196).

Almost surely, 2^135135262700 is an apocalyptic number.

135135262700 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 135135262700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155375899056).

135135262700 is an abundant number, since it is smaller than the sum of its proper divisors (175616535412).

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

135135262700 is a wasteful number, since it uses less digits than its factorization.

135135262700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66251 (or 66244 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 135135262700 in words is "one hundred thirty-five billion, one hundred thirty-five million, two hundred sixty-two thousand, seven hundred".