145747504 has 80 divisors (see below), whose sum is σ = 348549120. Its totient is φ = 57657600.

The previous prime is 145747501. The next prime is 145747507. The reversal of 145747504 is 405747541.

145747504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145747501) and next prime (145747507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145747501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73729 + ... + 75679.

It is an arithmetic number, because the mean of its divisors is an integer number (4356864).

Almost surely, 2^145747504 is an apocalyptic number.

145747504 is a gapful number since it is divisible by the number (14) 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 145747504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174274560).

145747504 is an abundant number, since it is smaller than the sum of its proper divisors (202801616).

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

145747504 is a wasteful number, since it uses less digits than its factorization.

145747504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 37.

The square root of 145747504 is about 12072.5930934493. The cubic root of 145747504 is about 526.2600168859.

Adding to 145747504 its sum of digits (37), we get a palindrome (145747541).

The spelling of 145747504 in words is "one hundred forty-five million, seven hundred forty-seven thousand, five hundred four".