136148040 has 448 divisors, whose sum is σ = 566611200. Its totient is φ = 28740096.

The previous prime is 136148027. The next prime is 136148071. The reversal of 136148040 is 40841631.

136148040 is a `hidden beast` number, since 1 + 3 + 614 + 8 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 136147995 and 136148013.

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 4694746 + ... + 4694774.

Almost surely, 2^136148040 is an apocalyptic number.

136148040 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 136148040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283305600).

136148040 is an abundant number, since it is smaller than the sum of its proper divisors (430463160).

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

136148040 is a wasteful number, since it uses less digits than its factorization.

136148040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 136148040 is about 11668.2492259979. The cubic root of 136148040 is about 514.4428448439.

Adding to 136148040 its reverse (40841631), we get a palindrome (176989671).

The spelling of 136148040 in words is "one hundred thirty-six million, one hundred forty-eight thousand, forty".