145931800 has 72 divisors (see below), whose sum is σ = 394712460. Its totient is φ = 50030400.

The previous prime is 145931789. The next prime is 145931801. The reversal of 145931800 is 8139541.

It is a super-3 number, since 3×145931800³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145931801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2355 + ... + 17245.

Almost surely, 2^145931800 is an apocalyptic number.

145931800 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 145931800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197356230).

145931800 is an abundant number, since it is smaller than the sum of its proper divisors (248780660).

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

145931800 is a wasteful number, since it uses less digits than its factorization.

145931800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14921 (or 14905 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 145931800 is about 12080.2235078661. The cubic root of 145931800 is about 526.4817399851.

The spelling of 145931800 in words is "one hundred forty-five million, nine hundred thirty-one thousand, eight hundred".