145306500 has 96 divisors (see below), whose sum is σ = 429252096. Its totient is φ = 38188800.

The previous prime is 145306493. The next prime is 145306507. The reversal of 145306500 is 5603541.

It is an interprime number because it is at equal distance from previous prime (145306493) and next prime (145306507).

It is a super-2 number, since 2×145306500² = 42227957884500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145306507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108837 + ... + 110163.

It is an arithmetic number, because the mean of its divisors is an integer number (4471376).

Almost surely, 2^145306500 is an apocalyptic number.

145306500 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 145306500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214626048).

145306500 is an abundant number, since it is smaller than the sum of its proper divisors (283945596).

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

145306500 is a wasteful number, since it uses less digits than its factorization.

145306500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 145306500 is about 12054.3145802654. The cubic root of 145306500 is about 525.7286933304.

The spelling of 145306500 in words is "one hundred forty-five million, three hundred six thousand, five hundred".