135120600 has 144 divisors (see below), whose sum is σ = 457098720. Its totient is φ = 35769600.

The previous prime is 135120593. The next prime is 135120611. The reversal of 135120600 is 6021531.

135120600 is a `hidden beast` number, since 13 + 51 + 2 + 0 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487662 + ... + 487938.

Almost surely, 2^135120600 is an apocalyptic number.

135120600 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 135120600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228549360).

135120600 is an abundant number, since it is smaller than the sum of its proper divisors (321978120).

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

135120600 is a wasteful number, since it uses less digits than its factorization.

135120600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 558 counting only the distinct ones).

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

The square root of 135120600 is about 11624.1386777688. The cubic root of 135120600 is about 513.1454963889.

The spelling of 135120600 in words is "one hundred thirty-five million, one hundred twenty thousand, six hundred".