145889424 has 120 divisors (see below), whose sum is σ = 427889280. Its totient is φ = 48117888.

The previous prime is 145889417. The next prime is 145889479. The reversal of 145889424 is 424988541.

145889424 is a `hidden beast` number, since 145 + 8 + 89 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 145889424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610297 + ... + 610535.

It is an arithmetic number, because the mean of its divisors is an integer number (3565744).

Almost surely, 2^145889424 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 145889424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213944640).

145889424 is an abundant number, since it is smaller than the sum of its proper divisors (281999856).

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

145889424 is a wasteful number, since it uses less digits than its factorization.

145889424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 145889424 is about 12078.4694394613. The cubic root of 145889424 is about 526.4307747396.

The spelling of 145889424 in words is "one hundred forty-five million, eight hundred eighty-nine thousand, four hundred twenty-four".