138942336 has 96 divisors (see below), whose sum is σ = 399825720. Its totient is φ = 42731520.

The previous prime is 138942329. The next prime is 138942337. The reversal of 138942336 is 633249831.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 138942294 and 138942303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138942337) 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, 63826 + ... + 65966.

Almost surely, 2^138942336 is an apocalyptic number.

138942336 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 138942336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199912860).

138942336 is an abundant number, since it is smaller than the sum of its proper divisors (260883384).

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

138942336 is a wasteful number, since it uses less digits than its factorization.

138942336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2159 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 138942336 is about 11787.3803705488. The cubic root of 138942336 is about 517.9385048468.

The spelling of 138942336 in words is "one hundred thirty-eight million, nine hundred forty-two thousand, three hundred thirty-six".