145015360 has 112 divisors (see below), whose sum is σ = 404530560. Its totient is φ = 48476160.

The previous prime is 145015337. The next prime is 145015373. The reversal of 145015360 is 63510541.

145015360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91051 + ... + 92629.

It is an arithmetic number, because the mean of its divisors is an integer number (3611880).

Almost surely, 2^145015360 is an apocalyptic number.

145015360 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 145015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202265280).

145015360 is an abundant number, since it is smaller than the sum of its proper divisors (259515200).

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

145015360 is a wasteful number, since it uses less digits than its factorization.

145015360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 145015360 is about 12042.2323511880. The cubic root of 145015360 is about 525.3773371942.

The spelling of 145015360 in words is "one hundred forty-five million, fifteen thousand, three hundred sixty".