145123506 has 48 divisors (see below), whose sum is σ = 345552480. Its totient is φ = 43652160.

The previous prime is 145123499. The next prime is 145123507. The reversal of 145123506 is 605321541.

145123506 is a `hidden beast` number, since 145 + 12 + 3 + 506 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 145123506.

It is not an unprimeable number, because it can be changed into a prime (145123507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24886 + ... + 30158.

It is an arithmetic number, because the mean of its divisors is an integer number (7199010).

Almost surely, 2^145123506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145123506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172776240).

145123506 is an abundant number, since it is smaller than the sum of its proper divisors (200428974).

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

145123506 is a wasteful number, since it uses less digits than its factorization.

145123506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5431 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 145123506 is about 12046.7217947457. The cubic root of 145123506 is about 525.5079057524.

The spelling of 145123506 in words is "one hundred forty-five million, one hundred twenty-three thousand, five hundred six".