145532352 has 168 divisors, whose sum is σ = 463296000. Its totient is φ = 40158720.

The previous prime is 145532347. The next prime is 145532357. The reversal of 145532352 is 253235541.

It is an interprime number because it is at equal distance from previous prime (145532347) and next prime (145532357).

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145532357) 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 23 ways as a sum of consecutive naturals, for example, 291399 + ... + 291897.

Almost surely, 2^145532352 is an apocalyptic number.

145532352 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 145532352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231648000).

145532352 is an abundant number, since it is smaller than the sum of its proper divisors (317763648).

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

145532352 is a wasteful number, since it uses less digits than its factorization.

145532352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 542 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 145532352 is about 12063.6790408233. The cubic root of 145532352 is about 526.0009349066. Note that the first 3 decimals are identical.

Adding to 145532352 its reverse (253235541), we get a palindrome (398767893).

The spelling of 145532352 in words is "one hundred forty-five million, five hundred thirty-two thousand, three hundred fifty-two".