138347352 has 160 divisors (see below), whose sum is σ = 455550480. Its totient is φ = 38672640.

The previous prime is 138347351. The next prime is 138347393. The reversal of 138347352 is 253743831.

138347352 is a `hidden beast` number, since 138 + 3 + 473 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138347351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91918 + ... + 93410.

Almost surely, 2^138347352 is an apocalyptic number.

138347352 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 138347352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227775240).

138347352 is an abundant number, since it is smaller than the sum of its proper divisors (317203128).

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

138347352 is a wasteful number, since it uses less digits than its factorization.

138347352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1522 counting only the distinct ones).

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

The square root of 138347352 is about 11762.1151159135. The cubic root of 138347352 is about 517.1981352316.

The spelling of 138347352 in words is "one hundred thirty-eight million, three hundred forty-seven thousand, three hundred fifty-two".