135349186461700 has 144 divisors (see below), whose sum is σ = 298543863844800. Its totient is φ = 53254080000000.

The previous prime is 135349186461667. The next prime is 135349186461721. The reversal of 135349186461700 is 7164681943531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6251972476 + ... + 6251994124.

It is an arithmetic number, because the mean of its divisors is an integer number (2073221276700).

Almost surely, 2^{135349186461700} is an apocalyptic number.

135349186461700 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 135349186461700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149271931922400).

135349186461700 is an abundant number, since it is smaller than the sum of its proper divisors (163194677383100).

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

135349186461700 is a wasteful number, since it uses less digits than its factorization.

135349186461700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24998 (or 24991 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 135349186461700 in words is "one hundred thirty-five trillion, three hundred forty-nine billion, one hundred eighty-six million, four hundred sixty-one thousand, seven hundred".