145724560 has 40 divisors (see below), whose sum is σ = 345212280. Its totient is φ = 57188352.

The previous prime is 145724539. The next prime is 145724567. The reversal of 145724560 is 65427541.

It can be written as a sum of positive squares in 4 ways, for example, as 69755904 + 75968656 = 8352^2 + 8716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (145724567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12945 + ... + 21424.

It is an arithmetic number, because the mean of its divisors is an integer number (8630307).

Almost surely, 2^145724560 is an apocalyptic number.

145724560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145724560 is an abundant number, since it is smaller than the sum of its proper divisors (199487720).

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

145724560 is a wasteful number, since it uses less digits than its factorization.

145724560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34435 (or 34429 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 145724560 is about 12071.6428045233. The cubic root of 145724560 is about 526.2324003044.

The spelling of 145724560 in words is "one hundred forty-five million, seven hundred twenty-four thousand, five hundred sixty".