19138240 has 56 divisors (see below), whose sum is σ = 49725072. Its totient is φ = 6958080.

The previous prime is 19138237. The next prime is 19138271. The reversal of 19138240 is 4283191.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 19138199 and 19138208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 802 + ... + 6238.

Almost surely, 2^19138240 is an apocalyptic number.

19138240 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 19138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24862536).

19138240 is an abundant number, since it is smaller than the sum of its proper divisors (30586832).

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

19138240 is a wasteful number, since it uses less digits than its factorization.

19138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 19138240 is about 4374.7274200800. The cubic root of 19138240 is about 267.4857592792.

It can be divided in two parts, 1913 and 8240, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 19138240 in words is "nineteen million, one hundred thirty-eight thousand, two hundred forty".