145892032 has 112 divisors (see below), whose sum is σ = 358444800. Its totient is φ = 57922560.

The previous prime is 145892027. The next prime is 145892081. The reversal of 145892032 is 230298541.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173469 + ... + 174307.

It is an arithmetic number, because the mean of its divisors is an integer number (3200400).

Almost surely, 2^145892032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145892032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179222400).

145892032 is an abundant number, since it is smaller than the sum of its proper divisors (212552768).

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

145892032 is a wasteful number, since it uses less digits than its factorization.

145892032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 145892032 is about 12078.5773996775. The cubic root of 145892032 is about 526.4339116434.

The spelling of 145892032 in words is "one hundred forty-five million, eight hundred ninety-two thousand, thirty-two".