19915136 has 32 divisors (see below), whose sum is σ = 39967680. Its totient is φ = 9884160.

The previous prime is 19915123. The next prime is 19915151. The reversal of 19915136 is 63151991.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×19915136² = 793225283796992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19915096 and 19915105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19601 + ... + 20591.

It is an arithmetic number, because the mean of its divisors is an integer number (1248990).

Almost surely, 2^19915136 is an apocalyptic number.

19915136 is a gapful number since it is divisible by the number (16) 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 19915136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19983840).

19915136 is an abundant number, since it is smaller than the sum of its proper divisors (20052544).

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

19915136 is an equidigital number, since it uses as much as digits as its factorization.

19915136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1150 counting only the distinct ones).

The product of its digits is 7290, while the sum is 35.

The square root of 19915136 is about 4462.6377849877. The cubic root of 19915136 is about 271.0572901214.

The spelling of 19915136 in words is "nineteen million, nine hundred fifteen thousand, one hundred thirty-six".