145382900 has 36 divisors (see below), whose sum is σ = 339751692. Its totient is φ = 53679360.

The previous prime is 145382899. The next prime is 145382917. The reversal of 145382900 is 9283541.

It can be written as a sum of positive squares in 6 ways, for example, as 27920656 + 117462244 = 5284^2 + 10838^2 .

It is a super-2 number, since 2×145382900² = 42272375224820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54617 + ... + 57216.

It is an arithmetic number, because the mean of its divisors is an integer number (9437547).

Almost surely, 2^145382900 is an apocalyptic number.

145382900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145382900 is an abundant number, since it is smaller than the sum of its proper divisors (194368792).

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

145382900 is a wasteful number, since it uses less digits than its factorization.

145382900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111860 (or 111853 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 145382900 is about 12057.4831536270. The cubic root of 145382900 is about 525.8208172999.

The spelling of 145382900 in words is "one hundred forty-five million, three hundred eighty-two thousand, nine hundred".