135647820 has 144 divisors (see below), whose sum is σ = 513047808. Its totient is φ = 28183680.

The previous prime is 135647719. The next prime is 135647833. The reversal of 135647820 is 28746531.

135647820 is a `hidden beast` number, since 1 + 3 + 5 + 647 + 8 + 2 + 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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8967 + ... + 18753.

It is an arithmetic number, because the mean of its divisors is an integer number (3562832).

Almost surely, 2^135647820 is an apocalyptic number.

135647820 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 135647820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256523904).

135647820 is an abundant number, since it is smaller than the sum of its proper divisors (377399988).

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

135647820 is a wasteful number, since it uses less digits than its factorization.

135647820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9820 (or 9815 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 135647820 is about 11646.7944087633. The cubic root of 135647820 is about 513.8120354165.

The spelling of 135647820 in words is "one hundred thirty-five million, six hundred forty-seven thousand, eight hundred twenty".