145032384 has 168 divisors, whose sum is σ = 460499968. Its totient is φ = 39421440.

The previous prime is 145032383. The next prime is 145032409. The reversal of 145032384 is 483230541.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145032383) 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, 2458147 + ... + 2458205.

Almost surely, 2^145032384 is an apocalyptic number.

145032384 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 145032384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230249984).

145032384 is an abundant number, since it is smaller than the sum of its proper divisors (315467584).

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

145032384 is an equidigital number, since it uses as much as digits as its factorization.

145032384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 145032384 is about 12042.9391761314. The cubic root of 145032384 is about 525.3978951862.

The spelling of 145032384 in words is "one hundred forty-five million, thirty-two thousand, three hundred eighty-four".