66123135 has 80 divisors (see below), whose sum is σ = 134571360. Its totient is φ = 30792960.

The previous prime is 66123131. The next prime is 66123143. The reversal of 66123135 is 53132166.

It is not a de Polignac number, because 66123135 - 2² = 66123131 is a prime.

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 66123099 and 66123108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66123131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99705 + ... + 100365.

It is an arithmetic number, because the mean of its divisors is an integer number (1682142).

Almost surely, 2^66123135 is an apocalyptic number.

66123135 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

66123135 is an abundant number, since it is smaller than the sum of its proper divisors (68448225).

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

66123135 is a wasteful number, since it uses less digits than its factorization.

66123135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 701 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 66123135 is about 8131.6133085631. The cubic root of 66123135 is about 404.3751681959.

It can be divided in two parts, 66 and 123135, that added together give a square (123201 = 351²).

The spelling of 66123135 in words is "sixty-six million, one hundred twenty-three thousand, one hundred thirty-five".