122767136 has 48 divisors (see below), whose sum is σ = 248343480. Its totient is φ = 59719680.

The previous prime is 122767111. The next prime is 122767153. The reversal of 122767136 is 631767221.

It can be written as a sum of positive squares in 4 ways, for example, as 115691536 + 7075600 = 10756^2 + 2660^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122767096 and 122767105.

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 7 ways as a sum of consecutive naturals, for example, 212480 + ... + 213056.

Almost surely, 2^122767136 is an apocalyptic number.

122767136 is a gapful number since it is divisible by the number (16) 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 122767136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124171740).

122767136 is an abundant number, since it is smaller than the sum of its proper divisors (125576344).

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

122767136 is a wasteful number, since it uses less digits than its factorization.

122767136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 749 counting only the distinct ones).

The product of its digits is 21168, while the sum is 35.

The square root of 122767136 is about 11080.0332129466. The cubic root of 122767136 is about 497.0049430906.

The spelling of 122767136 in words is "one hundred twenty-two million, seven hundred sixty-seven thousand, one hundred thirty-six".