138267648 has 110 divisors (see below), whose sum is σ = 413141916. Its totient is φ = 46061568.

The previous prime is 138267643. The next prime is 138267653. The reversal of 138267648 is 846762831.

It is an interprime number because it is at equal distance from previous prime (138267643) and next prime (138267653).

It is not an unprimeable number, because it can be changed into a prime (138267643) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82111 + ... + 83777.

Almost surely, 2^138267648 is an apocalyptic number.

138267648 is a gapful number since it is divisible by the number (18) 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 138267648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206570958).

138267648 is an abundant number, since it is smaller than the sum of its proper divisors (274874268).

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

138267648 is an equidigital number, since it uses as much as digits as its factorization.

138267648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1672 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 138267648 is about 11758.7264616539. The cubic root of 138267648 is about 517.0987942649.

The spelling of 138267648 in words is "one hundred thirty-eight million, two hundred sixty-seven thousand, six hundred forty-eight".