19148900 has 36 divisors (see below), whose sum is σ = 42348852. Its totient is φ = 7512960.

The previous prime is 19148897. The next prime is 19148911. The reversal of 19148900 is 984191.

It can be written as a sum of positive squares in 6 ways, for example, as 3020644 + 16128256 = 1738^2 + 4016^2 .

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, 3494 + ... + 7106.

It is an arithmetic number, because the mean of its divisors is an integer number (1176357).

Almost surely, 2^19148900 is an apocalyptic number.

19148900 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 19148900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21174426).

19148900 is an abundant number, since it is smaller than the sum of its proper divisors (23199952).

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

19148900 is a wasteful number, since it uses less digits than its factorization.

19148900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 19148900 is about 4375.9456120935. The cubic root of 19148900 is about 267.5354132520.

The spelling of 19148900 in words is "nineteen million, one hundred forty-eight thousand, nine hundred".