145584960 has 56 divisors (see below), whose sum is σ = 462235296. Its totient is φ = 38822400.

The previous prime is 145584953. The next prime is 145585007. The reversal of 145584960 is 69485541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74866 + ... + 76785.

Almost surely, 2^145584960 is an apocalyptic number.

145584960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145584960 is an abundant number, since it is smaller than the sum of its proper divisors (316650336).

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

145584960 is a wasteful number, since it uses less digits than its factorization.

145584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151671 (or 151661 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 145584960 is about 12065.8592731724. The cubic root of 145584960 is about 526.0643080401.

The spelling of 145584960 in words is "one hundred forty-five million, five hundred eighty-four thousand, nine hundred sixty".