136038240 has 288 divisors, whose sum is σ = 514594080. Its totient is φ = 32707584.

The previous prime is 136038239. The next prime is 136038263. The reversal of 136038240 is 42830631.

It is a happy number.

136038240 is a `hidden beast` number, since 13 + 603 + 8 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3163659 + ... + 3163701.

It is an arithmetic number, because the mean of its divisors is an integer number (1786785).

Almost surely, 2^136038240 is an apocalyptic number.

136038240 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 136038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257297040).

136038240 is an abundant number, since it is smaller than the sum of its proper divisors (378555840).

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

136038240 is a wasteful number, since it uses less digits than its factorization.

136038240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 136038240 is about 11663.5432009317. The cubic root of 136038240 is about 514.3045125404.

Adding to 136038240 its reverse (42830631), we get a palindrome (178868871).

The spelling of 136038240 in words is "one hundred thirty-six million, thirty-eight thousand, two hundred forty".