1438319136 has 96 divisors (see below), whose sum is σ = 4054313088. Its totient is φ = 444846080.

The previous prime is 1438319131. The next prime is 1438319143. The reversal of 1438319136 is 6319138341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1438319094 and 1438319103.

It is not an unprimeable number, because it can be changed into a prime (1438319131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109666 + ... + 122078.

It is an arithmetic number, because the mean of its divisors is an integer number (42232428).

Almost surely, 2^1438319136 is an apocalyptic number.

1438319136 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 1438319136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027156544).

1438319136 is an abundant number, since it is smaller than the sum of its proper divisors (2615993952).

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

1438319136 is a wasteful number, since it uses less digits than its factorization.

1438319136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12514 (or 12506 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 1438319136 is about 37925.1781274657. The cubic root of 1438319136 is about 1128.8036875945.

The spelling of 1438319136 in words is "one billion, four hundred thirty-eight million, three hundred nineteen thousand, one hundred thirty-six".