138055752 has 160 divisors (see below), whose sum is σ = 412948800. Its totient is φ = 42996096.

The previous prime is 138055681. The next prime is 138055777. The reversal of 138055752 is 257550831.

138055752 is a `hidden beast` number, since 1 + 3 + 80 + 5 + 575 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 879258 + ... + 879414.

It is an arithmetic number, because the mean of its divisors is an integer number (2580930).

Almost surely, 2^138055752 is an apocalyptic number.

138055752 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 138055752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206474400).

138055752 is an abundant number, since it is smaller than the sum of its proper divisors (274893048).

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

138055752 is a wasteful number, since it uses less digits than its factorization.

138055752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 138055752 is about 11749.7128475550. The cubic root of 138055752 is about 516.8345068768.

The spelling of 138055752 in words is "one hundred thirty-eight million, fifty-five thousand, seven hundred fifty-two".