135541666474300 has 144 divisors (see below), whose sum is σ = 311535142696960. Its totient is φ = 51043127132160.

The previous prime is 135541666474289. The next prime is 135541666474303. The reversal of 135541666474300 is 3474666145531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135541666474303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5708688229 + ... + 5708711971.

Almost surely, 2^{135541666474300} is an apocalyptic number.

135541666474300 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 135541666474300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155767571348480).

135541666474300 is an abundant number, since it is smaller than the sum of its proper divisors (175993476222660).

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

135541666474300 is a wasteful number, since it uses less digits than its factorization.

135541666474300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42372 (or 42365 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 55.

The spelling of 135541666474300 in words is "one hundred thirty-five trillion, five hundred forty-one billion, six hundred sixty-six million, four hundred seventy-four thousand, three hundred".