145957824 has 168 divisors, whose sum is σ = 439350912. Its totient is φ = 46287360.

The previous prime is 145957789. The next prime is 145957837. The reversal of 145957824 is 428759541.

145957824 is a `hidden beast` number, since 1 + 4 + 59 + 578 + 24 = 666.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 145957824.

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 23 ways as a sum of consecutive naturals, for example, 1758487 + ... + 1758569.

It is an arithmetic number, because the mean of its divisors is an integer number (2615184).

Almost surely, 2^145957824 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 145957824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219675456).

145957824 is an abundant number, since it is smaller than the sum of its proper divisors (293393088).

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

145957824 is a wasteful number, since it uses less digits than its factorization.

145957824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 145957824 is about 12081.3005922376. The cubic root of 145957824 is about 526.5130339330.

The spelling of 145957824 in words is "one hundred forty-five million, nine hundred fifty-seven thousand, eight hundred twenty-four".