145628720 has 80 divisors (see below), whose sum is σ = 359039520. Its totient is φ = 54835200.

The previous prime is 145628699. The next prime is 145628723. The reversal of 145628720 is 27826541.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (145628723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94355 + ... + 95885.

It is an arithmetic number, because the mean of its divisors is an integer number (4487994).

Almost surely, 2^145628720 is an apocalyptic number.

145628720 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 145628720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179519760).

145628720 is an abundant number, since it is smaller than the sum of its proper divisors (213410800).

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

145628720 is a wasteful number, since it uses less digits than its factorization.

145628720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 145628720 is about 12067.6725179299. The cubic root of 145628720 is about 526.1170109841.

The spelling of 145628720 in words is "one hundred forty-five million, six hundred twenty-eight thousand, seven hundred twenty".