135620100 has 432 divisors, whose sum is σ = 563297280. Its totient is φ = 26438400.

The previous prime is 135620077. The next prime is 135620113. The reversal of 135620100 is 1026531.

135620100 is a `hidden beast` number, since 1 + 3 + 562 + 0 + 100 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1316649 + ... + 1316751.

Almost surely, 2^135620100 is an apocalyptic number.

135620100 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 135620100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281648640).

135620100 is an abundant number, since it is smaller than the sum of its proper divisors (427677180).

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

135620100 is a wasteful number, since it uses less digits than its factorization.

135620100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135620100 is about 11645.6043209444. The cubic root of 135620100 is about 513.7770334044. Note that the first 3 decimals are identical.

Adding to 135620100 its reverse (1026531), we get a palindrome (136646631).

The spelling of 135620100 in words is "one hundred thirty-five million, six hundred twenty thousand, one hundred".