123152040 has 192 divisors, whose sum is σ = 441754560. Its totient is φ = 29506560.

The previous prime is 123152039. The next prime is 123152047. The reversal of 123152040 is 40251321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123152047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542407 + ... + 542633.

It is an arithmetic number, because the mean of its divisors is an integer number (2300805).

Almost surely, 2^123152040 is an apocalyptic number.

123152040 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 123152040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220877280).

123152040 is an abundant number, since it is smaller than the sum of its proper divisors (318602520).

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

123152040 is a wasteful number, since it uses less digits than its factorization.

123152040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 123152040 is about 11097.3888820749. The cubic root of 123152040 is about 497.5238105487.

The spelling of 123152040 in words is "one hundred twenty-three million, one hundred fifty-two thousand, forty".