145048032 has 72 divisors (see below), whose sum is σ = 418692456. Its totient is φ = 47621376.

The previous prime is 145048031. The next prime is 145048067. The reversal of 145048032 is 230840541.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 145047987 and 145048005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145048031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15538 + ... + 23054.

It is an arithmetic number, because the mean of its divisors is an integer number (5815173).

Almost surely, 2^145048032 is an apocalyptic number.

145048032 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 145048032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209346228).

145048032 is an abundant number, since it is smaller than the sum of its proper divisors (273644424).

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

145048032 is a wasteful number, since it uses less digits than its factorization.

145048032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7600 (or 7589 counting only the distinct ones).

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

The square root of 145048032 is about 12043.5888338983. The cubic root of 145048032 is about 525.4167901171.

Adding to 145048032 its reverse (230840541), we get a palindrome (375888573).

The spelling of 145048032 in words is "one hundred forty-five million, forty-eight thousand, thirty-two".