136859040 has 144 divisors (see below), whose sum is σ = 472156776. Its totient is φ = 36096000.

The previous prime is 136859011. The next prime is 136859053. The reversal of 136859040 is 40958631.

136859040 is a `hidden beast` number, since 1 + 3 + 68 + 590 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 135210384 + 1648656 = 11628^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 136858986 and 136859004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144970 + ... + 145910.

Almost surely, 2^136859040 is an apocalyptic number.

136859040 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 136859040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236078388).

136859040 is an abundant number, since it is smaller than the sum of its proper divisors (335297736).

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

136859040 is a wasteful number, since it uses less digits than its factorization.

136859040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 136859040 is about 11698.6768482594. The cubic root of 136859040 is about 515.3368079902.

The spelling of 136859040 in words is "one hundred thirty-six million, eight hundred fifty-nine thousand, forty".