319149900 has 108 divisors (see below), whose sum is σ = 1010549904. Its totient is φ = 84240000.

The previous prime is 319149893. The next prime is 319149907. The reversal of 319149900 is 9941913.

It is an interprime number because it is at equal distance from previous prime (319149893) and next prime (319149907).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (319149907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89145 + ... + 92655.

Almost surely, 2^319149900 is an apocalyptic number.

319149900 is a gapful number since it is divisible by the number (30) 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 319149900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505274952).

319149900 is an abundant number, since it is smaller than the sum of its proper divisors (691400004).

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

319149900 is a wasteful number, since it uses less digits than its factorization.

319149900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 319149900 is about 17864.7670009995. The cubic root of 319149900 is about 683.3841537985.

It can be divided in two parts, 31914 and 9900, that added together give a palindrome (41814).

The spelling of 319149900 in words is "three hundred nineteen million, one hundred forty-nine thousand, nine hundred".