145578240 has 108 divisors (see below), whose sum is σ = 503725404. Its totient is φ = 38817792.

The previous prime is 145578229. The next prime is 145578241. The reversal of 145578240 is 42875541.

145578240 is a `hidden beast` number, since 1 + 45 + 578 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 114575616 = 5568^2 + 10704^2 .

It is a super-2 number, since 2×145578240² = 42386047922995200, which contains 22 as substring.

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 = 145578195 and 145578204.

It is not an unprimeable number, because it can be changed into a prime (145578241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5202 + ... + 17838.

Almost surely, 2^145578240 is an apocalyptic number.

145578240 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 145578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251862702).

145578240 is an abundant number, since it is smaller than the sum of its proper divisors (358147164).

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

145578240 is a wasteful number, since it uses less digits than its factorization.

145578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12664 (or 12647 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 145578240 is about 12065.5807982873. The cubic root of 145578240 is about 526.0562137824.

The spelling of 145578240 in words is "one hundred forty-five million, five hundred seventy-eight thousand, two hundred forty".