145585440 has 576 divisors, whose sum is σ = 673650432. Its totient is φ = 27648000.

The previous prime is 145585421. The next prime is 145585441. The reversal of 145585440 is 44585541.

It is a happy number.

145585440 is a `hidden beast` number, since 14 + 558 + 54 + 40 = 666.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 145585395 and 145585404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145585441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1441390 + ... + 1441490.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532).

Almost surely, 2^145585440 is an apocalyptic number.

145585440 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 145585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336825216).

145585440 is an abundant number, since it is smaller than the sum of its proper divisors (528064992).

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

145585440 is a wasteful number, since it uses less digits than its factorization.

145585440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 145585440 is about 12065.8791639897. The cubic root of 145585440 is about 526.0648861918.

It can be divided in two parts, 145 and 585440, that added together give a palindrome (585585).

The spelling of 145585440 in words is "one hundred forty-five million, five hundred eighty-five thousand, four hundred forty".