145305720 has 288 divisors, whose sum is σ = 569368800. Its totient is φ = 31477248.

The previous prime is 145305691. The next prime is 145305737. The reversal of 145305720 is 27503541.

It is a happy number.

It is a super-2 number, since 2×145305720² = 42227504529436800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1333026 + ... + 1333134.

It is an arithmetic number, because the mean of its divisors is an integer number (1976975).

Almost surely, 2^145305720 is an apocalyptic number.

145305720 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 145305720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284684400).

145305720 is an abundant number, since it is smaller than the sum of its proper divisors (424063080).

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

145305720 is a wasteful number, since it uses less digits than its factorization.

145305720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 145305720 is about 12054.2822266612. The cubic root of 145305720 is about 525.7277526312.

The spelling of 145305720 in words is "one hundred forty-five million, three hundred five thousand, seven hundred twenty".