135630526500 has 576 divisors, whose sum is σ = 500426035200. Its totient is φ = 30286080000.

The previous prime is 135630526481. The next prime is 135630526511. The reversal of 135630526500 is 5625036531.

135630526500 is a `hidden beast` number, since 1 + 3 + 56 + 30 + 526 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 283153261 + ... + 283153739.

It is an arithmetic number, because the mean of its divisors is an integer number (868795200).

Almost surely, 2^135630526500 is an apocalyptic number.

135630526500 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 135630526500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250213017600).

135630526500 is an abundant number, since it is smaller than the sum of its proper divisors (364795508700).

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

135630526500 is a wasteful number, since it uses less digits than its factorization.

135630526500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 135630526500 in words is "one hundred thirty-five billion, six hundred thirty million, five hundred twenty-six thousand, five hundred".