145909530 has 144 divisors (see below), whose sum is σ = 420854616. Its totient is φ = 35043840.

The previous prime is 145909513. The next prime is 145909633. The reversal of 145909530 is 35909541.

145909530 is a `hidden beast` number, since 14 + 590 + 9 + 53 + 0 = 666.

145909530 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 12299049 + 133610481 = 3507^2 + 11559^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 806040 + ... + 806220.

Almost surely, 2^145909530 is an apocalyptic number.

145909530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145909530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210427308).

145909530 is an abundant number, since it is smaller than the sum of its proper divisors (274945086).

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

145909530 is a wasteful number, since it uses less digits than its factorization.

145909530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 145909530 is about 12079.3017182286. The cubic root of 145909530 is about 526.4549572806.

The spelling of 145909530 in words is "one hundred forty-five million, nine hundred nine thousand, five hundred thirty".