136742067 has 128 divisors (see below), whose sum is σ = 276203520. Its totient is φ = 64696320.

The previous prime is 136741991. The next prime is 136742113. The reversal of 136742067 is 760247631.

It is not a de Polignac number, because 136742067 - 2¹² = 136737971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (136742267) 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 127 ways as a sum of consecutive naturals, for example, 1873143 + ... + 1873215.

It is an arithmetic number, because the mean of its divisors is an integer number (2157840).

Almost surely, 2^136742067 is an apocalyptic number.

136742067 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

136742067 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

136742067 is a wasteful number, since it uses less digits than its factorization.

136742067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 136742067 is about 11693.6763680205. The cubic root of 136742067 is about 515.1899472142.

Adding to 136742067 its reverse (760247631), we get a palindrome (896989698).

It can be divided in two parts, 1367 and 42067, that added together give a palindrome (43434).

The spelling of 136742067 in words is "one hundred thirty-six million, seven hundred forty-two thousand, sixty-seven".