145329300 has 108 divisors (see below), whose sum is σ = 459879420. Its totient is φ = 38384640.

The previous prime is 145329281. The next prime is 145329307. The reversal of 145329300 is 3923541.

It can be written as a sum of positive squares in 6 ways, for example, as 64545156 + 80784144 = 8034^2 + 8988^2 .

It is a super-2 number, since 2×145329300² = 42241210876980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145329307) 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 35 ways as a sum of consecutive naturals, for example, 100986 + ... + 102414.

Almost surely, 2^145329300 is an apocalyptic number.

145329300 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 145329300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229939710).

145329300 is an abundant number, since it is smaller than the sum of its proper divisors (314550120).

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

145329300 is a wasteful number, since it uses less digits than its factorization.

145329300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 145329300 is about 12055.2602626405. The cubic root of 145329300 is about 525.7561892037.

It can be divided in two parts, 14532 and 9300, that added together give a palindrome (23832).

The spelling of 145329300 in words is "one hundred forty-five million, three hundred twenty-nine thousand, three hundred".