135676424744300 has 72 divisors (see below), whose sum is σ = 321701975797440. Its totient is φ = 49257177307200.

The previous prime is 135676424744239. The next prime is 135676424744321. The reversal of 135676424744300 is 3447424676531.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98949314 + ... + 100311113.

Almost surely, 2^{135676424744300} is an apocalyptic number.

135676424744300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135676424744300 is an abundant number, since it is smaller than the sum of its proper divisors (186025551053140).

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

135676424744300 is a wasteful number, since it uses less digits than its factorization.

135676424744300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199261071 (or 199261064 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 56.

The spelling of 135676424744300 in words is "one hundred thirty-five trillion, six hundred seventy-six billion, four hundred twenty-four million, seven hundred forty-four thousand, three hundred".