145961728 has 72 divisors (see below), whose sum is σ = 336646800. Its totient is φ = 62423040.

The previous prime is 145961723. The next prime is 145961731. The reversal of 145961728 is 827169541.

It is not an unprimeable number, because it can be changed into a prime (145961723) 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, 46348 + ... + 49396.

It is an arithmetic number, because the mean of its divisors is an integer number (4675650).

Almost surely, 2^145961728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168323400).

145961728 is an abundant number, since it is smaller than the sum of its proper divisors (190685072).

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

145961728 is a wasteful number, since it uses less digits than its factorization.

145961728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3079 counting only the distinct ones).

The product of its digits is 120960, while the sum is 43.

The square root of 145961728 is about 12081.4621631655. The cubic root of 145961728 is about 526.5177281853.

It can be divided in two parts, 145961 and 728, that added together give a square (146689 = 383²).

The spelling of 145961728 in words is "one hundred forty-five million, nine hundred sixty-one thousand, seven hundred twenty-eight".