145985440 has 24 divisors (see below), whose sum is σ = 344890980. Its totient is φ = 58394112.

The previous prime is 145985423. The next prime is 145985447. The reversal of 145985440 is 44589541.

It can be written as a sum of positive squares in 2 ways, for example, as 131515024 + 14470416 = 11468^2 + 3804^2 .

It is a super-3 number, since 3×145985440³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 145985393 and 145985402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145985447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 456045 + ... + 456364.

Almost surely, 2^145985440 is an apocalyptic number.

145985440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145985440 is an abundant number, since it is smaller than the sum of its proper divisors (198905540).

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

145985440 is an equidigital number, since it uses as much as digits as its factorization.

145985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912424 (or 912416 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 145985440 is about 12082.4434614858. The cubic root of 145985440 is about 526.5462381985.

The spelling of 145985440 in words is "one hundred forty-five million, nine hundred eighty-five thousand, four hundred forty".