136220040 has 192 divisors, whose sum is σ = 495331200. Its totient is φ = 32179200.

The previous prime is 136220039. The next prime is 136220041. The reversal of 136220040 is 40022631.

It is a happy number.

136220040 is a `hidden beast` number, since 1 + 3 + 622 + 0 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (136220039) and next prime (136220041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 136219995 and 136220022.

It is not an unprimeable number, because it can be changed into a prime (136220041) by changing a digit.

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, 161941 + ... + 162779.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^136220040 is an apocalyptic number.

136220040 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 136220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

136220040 is an abundant number, since it is smaller than the sum of its proper divisors (359111160).

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

136220040 is a wasteful number, since it uses less digits than its factorization.

136220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 136220040 is about 11671.3341139734. The cubic root of 136220040 is about 514.5335141805.

Adding to 136220040 its reverse (40022631), we get a palindrome (176242671).

The spelling of 136220040 in words is "one hundred thirty-six million, two hundred twenty thousand, forty".