145452384 has 216 divisors, whose sum is σ = 525463848. Its totient is φ = 37739520.

The previous prime is 145452383. The next prime is 145452397. The reversal of 145452384 is 483254541.

It is a happy number.

145452384 is a `hidden beast` number, since 1 + 4 + 54 + 523 + 84 = 666.

It is a super-2 number, since 2×145452384² = 42312792022566912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (76800) is a multiple of the sum of its prime divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145452383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154764 + ... + 155700.

It is an arithmetic number, because the mean of its divisors is an integer number (2432703).

Almost surely, 2^145452384 is an apocalyptic number.

145452384 is a gapful number since it is divisible by the number (14) 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 145452384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262731924).

145452384 is an abundant number, since it is smaller than the sum of its proper divisors (380011464).

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

145452384 is a wasteful number, since it uses less digits than its factorization.

145452384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 960 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 145452384 is about 12060.3641736060. The cubic root of 145452384 is about 525.9045738594.

The spelling of 145452384 in words is "one hundred forty-five million, four hundred fifty-two thousand, three hundred eighty-four".