135161100 has 108 divisors (see below), whose sum is σ = 429243360. Its totient is φ = 35568000.

The previous prime is 135161071. The next prime is 135161107. The reversal of 135161100 is 1161531.

135161100 is a `hidden beast` number, since 1 + 3 + 51 + 611 + 0 + 0 = 666.

It is a super-3 number, since 3×135161100³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135161107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70150 + ... + 72050.

Almost surely, 2^135161100 is an apocalyptic number.

135161100 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 135161100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214621680).

135161100 is an abundant number, since it is smaller than the sum of its proper divisors (294082260).

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

135161100 is a wasteful number, since it uses less digits than its factorization.

135161100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 135161100 is about 11625.8806118074. The cubic root of 135161100 is about 513.1967600170.

The spelling of 135161100 in words is "one hundred thirty-five million, one hundred sixty-one thousand, one hundred".