135266838300 has 288 divisors, whose sum is σ = 476182022400. Its totient is φ = 32668128000.

The previous prime is 135266838299. The next prime is 135266838323. The reversal of 135266838300 is 3838662531.

135266838300 is a `hidden beast` number, since 1 + 3 + 5 + 266 + 8 + 383 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7980835 + ... + 7997765.

It is an arithmetic number, because the mean of its divisors is an integer number (1653409800).

Almost surely, 2^135266838300 is an apocalyptic number.

135266838300 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 135266838300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238091011200).

135266838300 is an abundant number, since it is smaller than the sum of its proper divisors (340915184100).

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

135266838300 is a wasteful number, since it uses less digits than its factorization.

135266838300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17234 (or 17221 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 135266838300 in words is "one hundred thirty-five billion, two hundred sixty-six million, eight hundred thirty-eight thousand, three hundred".