145641440 has 96 divisors (see below), whose sum is σ = 397172160. Its totient is φ = 49434624.

The previous prime is 145641437. The next prime is 145641443. The reversal of 145641440 is 44146541.

145641440 is digitally balanced in base 2, 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 (145641437) and next prime (145641443).

It is a super-2 number, since 2×145641440² = 42422858090547200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145641443) 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, 121484 + ... + 122676.

It is an arithmetic number, because the mean of its divisors is an integer number (4137210).

Almost surely, 2^145641440 is an apocalyptic number.

145641440 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 145641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198586080).

145641440 is an abundant number, since it is smaller than the sum of its proper divisors (251530720).

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

145641440 is a wasteful number, since it uses less digits than its factorization.

145641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 145641440 is about 12068.1995343133. The cubic root of 145641440 is about 526.1323285065.

Adding to 145641440 its reverse (44146541), we get a palindrome (189787981).

The spelling of 145641440 in words is "one hundred forty-five million, six hundred forty-one thousand, four hundred forty".