135493908300 has 252 divisors, whose sum is σ = 466766515656. Its totient is φ = 34006003200.

The previous prime is 135493908259. The next prime is 135493908337. The reversal of 135493908300 is 3809394531.

135493908300 is a `hidden beast` number, since 13 + 549 + 3 + 90 + 8 + 3 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1184635 + ... + 1293965.

It is an arithmetic number, because the mean of its divisors is an integer number (1852248078).

Almost surely, 2^135493908300 is an apocalyptic number.

135493908300 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 135493908300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233383257828).

135493908300 is an abundant number, since it is smaller than the sum of its proper divisors (331272607356).

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

135493908300 is a wasteful number, since it uses less digits than its factorization.

135493908300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109380 (or 109358 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 135493908300 in words is "one hundred thirty-five billion, four hundred ninety-three million, nine hundred eight thousand, three hundred".