145384560 has 60 divisors (see below), whose sum is σ = 488252232. Its totient is φ = 38769024.

The previous prime is 145384517. The next prime is 145384567. The reversal of 145384560 is 65483541.

It is a happy number.

145384560 is a `hidden beast` number, since 14 + 5 + 3 + 84 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×145384560² = 42273340572787200, which contains 22 as substring.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (145384567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100242 + ... + 101681.

Almost surely, 2^145384560 is an apocalyptic number.

145384560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145384560 is an abundant number, since it is smaller than the sum of its proper divisors (342867672).

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

145384560 is a wasteful number, since it uses less digits than its factorization.

145384560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201942 (or 201933 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 145384560 is about 12057.5519903503. The cubic root of 145384560 is about 525.8228185881.

The spelling of 145384560 in words is "one hundred forty-five million, three hundred eighty-four thousand, five hundred sixty".