145632 has 48 divisors (see below), whose sum is σ = 402192. Its totient is φ = 46080.

The previous prime is 145603. The next prime is 145633. The reversal of 145632 is 236541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 145599 and 145608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3532 + ... + 3572.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2¹⁴⁵⁶³² is an apocalyptic number.

145632 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 145632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201096).

145632 is an abundant number, since it is smaller than the sum of its proper divisors (256560).

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

145632 is a wasteful number, since it uses less digits than its factorization.

145632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 145632 is about 381.6176096566. The cubic root of 145632 is about 52.6120960871.

Subtracting 145632 from its reverse (236541), we obtain a palindrome (90909).

It can be divided in two parts, 145 and 632, that added together give a palindrome (777).

The spelling of 145632 in words is "one hundred forty-five thousand, six hundred thirty-two".