135461574658300 has 144 divisors (see below), whose sum is σ = 331818924729600. Its totient is φ = 47572602739200.

The previous prime is 135461574658279. The next prime is 135461574658301. The reversal of 135461574658300 is 3856475164531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135461574658301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11879520 + ... + 20298919.

It is an arithmetic number, because the mean of its divisors is an integer number (2304298088400).

Almost surely, 2^{135461574658300} is an apocalyptic number.

135461574658300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135461574658300 is an abundant number, since it is smaller than the sum of its proper divisors (196357350071300).

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

135461574658300 is a wasteful number, since it uses less digits than its factorization.

135461574658300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32178596 (or 32178589 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 58.

The spelling of 135461574658300 in words is "one hundred thirty-five trillion, four hundred sixty-one billion, five hundred seventy-four million, six hundred fifty-eight thousand, three hundred".