135630000 has 300 divisors, whose sum is σ = 521214408. Its totient is φ = 32640000.

The previous prime is 135629983. The next prime is 135630017. The reversal of 135630000 is 36531.

135630000 is a `hidden beast` number, since 1 + 35 + 630 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135629983) and next prime (135630017).

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 989932 + ... + 990068.

Almost surely, 2^135630000 is an apocalyptic number.

135630000 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 135630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260607204).

135630000 is an abundant number, since it is smaller than the sum of its proper divisors (385584408).

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

135630000 is a wasteful number, since it uses less digits than its factorization.

135630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 135630000 is about 11646.0293662690. The cubic root of 135630000 is about 513.7895346705.

Adding to 135630000 its reverse (36531), we get a palindrome (135666531).

The spelling of 135630000 in words is "one hundred thirty-five million, six hundred thirty thousand".