1206135000 has 360 divisors, whose sum is σ = 4757086620. Its totient is φ = 275184000.

The previous prime is 1206134987. The next prime is 1206135017. The reversal of 1206135000 is 5316021.

1206135000 is a `hidden beast` number, since 1 + 2 + 0 + 613 + 50 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 89 ways as a sum of consecutive naturals, for example, 2204727 + ... + 2205273.

Almost surely, 2^1206135000 is an apocalyptic number.

1206135000 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 1206135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378543310).

1206135000 is an abundant number, since it is smaller than the sum of its proper divisors (3550951620).

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

1206135000 is a wasteful number, since it uses less digits than its factorization.

1206135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 564 counting only the distinct ones).

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

The square root of 1206135000 is about 34729.4543579366. The cubic root of 1206135000 is about 1064.4664390740.

The spelling of 1206135000 in words is "one billion, two hundred six million, one hundred thirty-five thousand".