19138752 has 84 divisors (see below), whose sum is σ = 55473600. Its totient is φ = 6308352.

The previous prime is 19138733. The next prime is 19138781. The reversal of 19138752 is 25783191.

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

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, 85713 + ... + 85935.

It is an arithmetic number, because the mean of its divisors is an integer number (660400).

Almost surely, 2^19138752 is an apocalyptic number.

19138752 is a gapful number since it is divisible by the number (12) 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 19138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27736800).

19138752 is an abundant number, since it is smaller than the sum of its proper divisors (36334848).

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

19138752 is a wasteful number, since it uses less digits than its factorization.

19138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 19138752 is about 4374.7859376203. The cubic root of 19138752 is about 267.4881445819.

The spelling of 19138752 in words is "nineteen million, one hundred thirty-eight thousand, seven hundred fifty-two".