145531032240 has 160 divisors (see below), whose sum is σ = 497234174976. Its totient is φ = 34916474880.

The previous prime is 145531032203. The next prime is 145531032281. The reversal of 145531032240 is 42230135541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145531032198 and 145531032207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28072 + ... + 540231.

Almost surely, 2^145531032240 is an apocalyptic number.

145531032240 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 145531032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248617087488).

145531032240 is an abundant number, since it is smaller than the sum of its proper divisors (351703142736).

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

145531032240 is a wasteful number, since it uses less digits than its factorization.

145531032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568427 (or 568421 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 145531032240 its reverse (42230135541), we get a palindrome (187761167781).

The spelling of 145531032240 in words is "one hundred forty-five billion, five hundred thirty-one million, thirty-two thousand, two hundred forty".