135789971100 has 216 divisors, whose sum is σ = 464525612208. Its totient is φ = 30528691200.

The previous prime is 135789971099. The next prime is 135789971111. The reversal of 135789971100 is 1179987531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 820984 + ... + 972416.

It is an arithmetic number, because the mean of its divisors is an integer number (2150581538).

Almost surely, 2^135789971100 is an apocalyptic number.

135789971100 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 135789971100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232262806104).

135789971100 is an abundant number, since it is smaller than the sum of its proper divisors (328735641108).

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

135789971100 is a wasteful number, since it uses less digits than its factorization.

135789971100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151525 (or 151511 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 51.

The spelling of 135789971100 in words is "one hundred thirty-five billion, seven hundred eighty-nine million, nine hundred seventy-one thousand, one hundred".