138742872 has 48 divisors (see below), whose sum is σ = 354529560. Its totient is φ = 45246336.

The previous prime is 138742871. The next prime is 138742889. The reversal of 138742872 is 278247831.

It is a super-3 number, since 3×138742872³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138742871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51708 + ... + 54324.

Almost surely, 2^138742872 is an apocalyptic number.

138742872 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 138742872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177264780).

138742872 is an abundant number, since it is smaller than the sum of its proper divisors (215786688).

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

138742872 is a wasteful number, since it uses less digits than its factorization.

138742872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2669 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 138742872 is about 11778.9164187543. The cubic root of 138742872 is about 517.6905373199.

The spelling of 138742872 in words is "one hundred thirty-eight million, seven hundred forty-two thousand, eight hundred seventy-two".