138742848 has 112 divisors (see below), whose sum is σ = 431962560. Its totient is φ = 43517952.

The previous prime is 138742847. The next prime is 138742871. The reversal of 138742848 is 848247831.

It is a super-2 number, since 2×138742848² = 38499155742302208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138742843) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27015 + ... + 31737.

Almost surely, 2^138742848 is an apocalyptic number.

138742848 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 138742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215981280).

138742848 is an abundant number, since it is smaller than the sum of its proper divisors (293219712).

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

138742848 is a wasteful number, since it uses less digits than its factorization.

138742848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4745 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 138742848 is about 11778.9153999848. The cubic root of 138742848 is about 517.6905074696.

The spelling of 138742848 in words is "one hundred thirty-eight million, seven hundred forty-two thousand, eight hundred forty-eight".