123078528 has 112 divisors (see below), whose sum is σ = 367903800. Its totient is φ = 40995072.

The previous prime is 123078509. The next prime is 123078551. The reversal of 123078528 is 825870321.

123078528 is a `hidden beast` number, since 123 + 0 + 7 + 8 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123078492 and 123078501.

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 92653 + ... + 93971.

Almost surely, 2^123078528 is an apocalyptic number.

123078528 is a gapful number since it is divisible by the number (18) 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 123078528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183951900).

123078528 is an abundant number, since it is smaller than the sum of its proper divisors (244825272).

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

123078528 is an frugal number, since it uses more digits than its factorization.

123078528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 123078528 is about 11094.0762571744. The cubic root of 123078528 is about 497.4247967604.

The spelling of 123078528 in words is "one hundred twenty-three million, seventy-eight thousand, five hundred twenty-eight".