145007832 has 64 divisors (see below), whose sum is σ = 379929600. Its totient is φ = 46062720.

The previous prime is 145007809. The next prime is 145007833. The reversal of 145007832 is 238700541.

It is a self number, because there is not a number n which added to its sum of digits gives 145007832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145007833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48394 + ... + 51302.

It is an arithmetic number, because the mean of its divisors is an integer number (5936400).

Almost surely, 2^145007832 is an apocalyptic number.

145007832 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 145007832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189964800).

145007832 is an abundant number, since it is smaller than the sum of its proper divisors (234921768).

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

145007832 is a wasteful number, since it uses less digits than its factorization.

145007832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 145007832 is about 12041.9197805001. The cubic root of 145007832 is about 525.3682459526.

The spelling of 145007832 in words is "one hundred forty-five million, seven thousand, eight hundred thirty-two".