145984032 has 120 divisors (see below), whose sum is σ = 454727196. Its totient is φ = 45785088.

The previous prime is 145984031. The next prime is 145984037. The reversal of 145984032 is 230489541.

It can be written as a sum of positive squares in 2 ways, for example, as 123743376 + 22240656 = 11124^2 + 4716^2 .

It is a super-3 number, since 3×145984032³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (145984031) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42408 + ... + 45720.

Almost surely, 2^145984032 is an apocalyptic number.

145984032 is a gapful number since it is divisible by the number (12) 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 145984032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227363598).

145984032 is an abundant number, since it is smaller than the sum of its proper divisors (308743164).

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

145984032 is a wasteful number, since it uses less digits than its factorization.

145984032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 145984032 is about 12082.3851949853. The cubic root of 145984032 is about 526.5445453824.

It can be divided in two parts, 1459 and 84032, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 145984032 in words is "one hundred forty-five million, nine hundred eighty-four thousand, thirty-two".