145884900 has 144 divisors (see below), whose sum is σ = 487079936. Its totient is φ = 33022080.

The previous prime is 145884889. The next prime is 145884901. The reversal of 145884900 is 9488541.

It is not an unprimeable number, because it can be changed into a prime (145884901) 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 47 ways as a sum of consecutive naturals, for example, 266427 + ... + 266973.

Almost surely, 2^145884900 is an apocalyptic number.

145884900 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 145884900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243539968).

145884900 is an abundant number, since it is smaller than the sum of its proper divisors (341195036).

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

145884900 is a wasteful number, since it uses less digits than its factorization.

145884900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 145884900 is about 12078.2821626256. The cubic root of 145884900 is about 526.4253331812.

The spelling of 145884900 in words is "one hundred forty-five million, eight hundred eighty-four thousand, nine hundred".