123945504 has 96 divisors (see below), whose sum is σ = 347276160. Its totient is φ = 38572032.

The previous prime is 123945499. The next prime is 123945509. The reversal of 123945504 is 405549321.

It is an interprime number because it is at equal distance from previous prime (123945499) and next prime (123945509).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×123945504³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (123945509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282117 + ... + 282555.

It is an arithmetic number, because the mean of its divisors is an integer number (3617460).

Almost surely, 2^123945504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123945504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173638080).

123945504 is an abundant number, since it is smaller than the sum of its proper divisors (223330656).

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

123945504 is a wasteful number, since it uses less digits than its factorization.

123945504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 123945504 is about 11133.0815141182. The cubic root of 123945504 is about 498.5900330571.

The spelling of 123945504 in words is "one hundred twenty-three million, nine hundred forty-five thousand, five hundred four".