138746652 has 48 divisors (see below), whose sum is σ = 355563264. Its totient is φ = 41760000.

The previous prime is 138746627. The next prime is 138746653. The reversal of 138746652 is 256647831.

138746652 = T₃₅₃ + T₃₅₄ + ... + T₉₅₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138746653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16452 + ... + 23412.

It is an arithmetic number, because the mean of its divisors is an integer number (7407568).

Almost surely, 2^138746652 is an apocalyptic number.

138746652 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 138746652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177781632).

138746652 is an abundant number, since it is smaller than the sum of its proper divisors (216816612).

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

138746652 is a wasteful number, since it uses less digits than its factorization.

138746652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7130 (or 7128 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 138746652 is about 11779.0768738471. The cubic root of 138746652 is about 517.6952387085.

The spelling of 138746652 in words is "one hundred thirty-eight million, seven hundred forty-six thousand, six hundred fifty-two".