145305405 has 96 divisors (see below), whose sum is σ = 299220480. Its totient is φ = 63866880.

The previous prime is 145305403. The next prime is 145305431. The reversal of 145305405 is 504503541.

It is not a de Polignac number, because 145305405 - 2¹ = 145305403 is a prime.

It is a super-2 number, since 2×145305405² = 42227321444428050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145305403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1632601 + ... + 1632689.

It is an arithmetic number, because the mean of its divisors is an integer number (3116880).

Almost surely, 2^145305405 is an apocalyptic number.

145305405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145305405 is an abundant number, since it is smaller than the sum of its proper divisors (153915075).

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

145305405 is a wasteful number, since it uses less digits than its factorization.

145305405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 145305405 is about 12054.2691607579. The cubic root of 145305405 is about 525.7273727325.

Adding to 145305405 its reverse (504503541), we get a palindrome (649808946).

The spelling of 145305405 in words is "one hundred forty-five million, three hundred five thousand, four hundred five".