145804032 has 162 divisors, whose sum is σ = 462963956. Its totient is φ = 44098560.

The previous prime is 145804003. The next prime is 145804037. The reversal of 145804032 is 230408541.

145804032 is a `hidden beast` number, since 14 + 580 + 40 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145803987 and 145804005.

It is not an unprimeable number, because it can be changed into a prime (145804037) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 278523 + ... + 279045.

Almost surely, 2^145804032 is an apocalyptic number.

145804032 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 145804032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231481978).

145804032 is an abundant number, since it is smaller than the sum of its proper divisors (317159924).

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

145804032 is a wasteful number, since it uses less digits than its factorization.

145804032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 539 counting only the distinct ones).

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

The square root of 145804032 is about 12074.9340370869. The cubic root of 145804032 is about 526.3280445371.

The spelling of 145804032 in words is "one hundred forty-five million, eight hundred four thousand, thirty-two".