145730760 has 256 divisors, whose sum is σ = 550195200. Its totient is φ = 30108672.

The previous prime is 145730743. The next prime is 145730777. The reversal of 145730760 is 67037541.

145730760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145730743) and next prime (145730777).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366882 + ... + 367278.

It is an arithmetic number, because the mean of its divisors is an integer number (2149200).

Almost surely, 2^145730760 is an apocalyptic number.

145730760 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 145730760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275097600).

145730760 is an abundant number, since it is smaller than the sum of its proper divisors (404464440).

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

145730760 is a wasteful number, since it uses less digits than its factorization.

145730760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 145730760 is about 12071.8996019682. The cubic root of 145730760 is about 526.2398632299.

The spelling of 145730760 in words is "one hundred forty-five million, seven hundred thirty thousand, seven hundred sixty".