138753342 has 192 divisors, whose sum is σ = 402554880. Its totient is φ = 33530112.

The previous prime is 138753281. The next prime is 138753343. The reversal of 138753342 is 243357831.

138753342 is a `hidden beast` number, since 1 + 3 + 87 + 533 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 138753297 and 138753306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138753343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1092483 + ... + 1092609.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 2^138753342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138753342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

138753342 is an abundant number, since it is smaller than the sum of its proper divisors (263801538).

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

138753342 is a wasteful number, since it uses less digits than its factorization.

138753342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 138753342 is about 11779.3608485350. The cubic root of 138753342 is about 517.7035592107.

The spelling of 138753342 in words is "one hundred thirty-eight million, seven hundred fifty-three thousand, three hundred forty-two".