145824300 has 216 divisors, whose sum is σ = 503311536. Its totient is φ = 36495360.

The previous prime is 145824257. The next prime is 145824313. The reversal of 145824300 is 3428541.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 412924 + ... + 413276.

It is an arithmetic number, because the mean of its divisors is an integer number (2330146).

Almost surely, 2^145824300 is an apocalyptic number.

145824300 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 145824300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251655768).

145824300 is an abundant number, since it is smaller than the sum of its proper divisors (357487236).

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

145824300 is a wasteful number, since it uses less digits than its factorization.

145824300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145824300 is about 12075.7732671660. The cubic root of 145824300 is about 526.3524314314.

The spelling of 145824300 in words is "one hundred forty-five million, eight hundred twenty-four thousand, three hundred".