145531040 has 48 divisors (see below), whose sum is σ = 347398632. Its totient is φ = 57606144.

The previous prime is 145531039. The next prime is 145531063. The reversal of 145531040 is 40135541.

It can be written as a sum of positive squares in 4 ways, for example, as 83247376 + 62283664 = 9124^2 + 7892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 145530997 and 145531015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10832 + ... + 20208.

Almost surely, 2^145531040 is an apocalyptic number.

145531040 is a gapful number since it is divisible by the number (10) 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 145531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173699316).

145531040 is an abundant number, since it is smaller than the sum of its proper divisors (201867592).

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

145531040 is an equidigital number, since it uses as much as digits as its factorization.

145531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9489 (or 9481 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 145531040 is about 12063.6246625962. The cubic root of 145531040 is about 525.9993542379. Note that the first 3 decimals are identical.

Adding to 145531040 its reverse (40135541), we get a palindrome (185666581).

The spelling of 145531040 in words is "one hundred forty-five million, five hundred thirty-one thousand, forty".