123767140 has 216 divisors, whose sum is σ = 352779840. Its totient is φ = 36191232.

The previous prime is 123767131. The next prime is 123767179. The reversal of 123767140 is 41767321.

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 71 ways as a sum of consecutive naturals, for example, 5381169 + ... + 5381191.

It is an arithmetic number, because the mean of its divisors is an integer number (1633240).

Almost surely, 2^123767140 is an apocalyptic number.

123767140 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 123767140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176389920).

123767140 is an abundant number, since it is smaller than the sum of its proper divisors (229012700).

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

123767140 is a wasteful number, since it uses less digits than its factorization.

123767140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 123767140 is about 11125.0680896793. The cubic root of 123767140 is about 498.3507526141.

The spelling of 123767140 in words is "one hundred twenty-three million, seven hundred sixty-seven thousand, one hundred forty".