135576100 has 72 divisors (see below), whose sum is σ = 326541600. Its totient is φ = 48441600.

The previous prime is 135576061. The next prime is 135576107. The reversal of 135576100 is 1675531.

It is not an unprimeable number, because it can be changed into a prime (135576107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63856 + ... + 65944.

It is an arithmetic number, because the mean of its divisors is an integer number (4535300).

Almost surely, 2^135576100 is an apocalyptic number.

135576100 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 135576100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163270800).

135576100 is an abundant number, since it is smaller than the sum of its proper divisors (190965500).

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

135576100 is a wasteful number, since it uses less digits than its factorization.

135576100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 135576100 is about 11643.7150428890. The cubic root of 135576100 is about 513.7214648600.

The spelling of 135576100 in words is "one hundred thirty-five million, five hundred seventy-six thousand, one hundred".