136800840 has 128 divisors (see below), whose sum is σ = 459976320. Its totient is φ = 32256000.

The previous prime is 136800823. The next prime is 136800863. The reversal of 136800840 is 48008631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 136800798 and 136800807.

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 31 ways as a sum of consecutive naturals, for example, 47440 + ... + 50240.

It is an arithmetic number, because the mean of its divisors is an integer number (3593565).

Almost surely, 2^136800840 is an apocalyptic number.

136800840 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 136800840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229988160).

136800840 is an abundant number, since it is smaller than the sum of its proper divisors (323175480).

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

136800840 is a wasteful number, since it uses less digits than its factorization.

136800840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 136800840 is about 11696.1891229580. The cubic root of 136800840 is about 515.2637477701.

The spelling of 136800840 in words is "one hundred thirty-six million, eight hundred thousand, eight hundred forty".