138716532 has 108 divisors (see below), whose sum is σ = 379943200. Its totient is φ = 42653952.

The previous prime is 138716527. The next prime is 138716533. The reversal of 138716532 is 235617831.

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

Its product of digits (30240) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138716533) 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 35 ways as a sum of consecutive naturals, for example, 696969 + ... + 697167.

Almost surely, 2^138716532 is an apocalyptic number.

138716532 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 138716532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189971600).

138716532 is an abundant number, since it is smaller than the sum of its proper divisors (241226668).

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

138716532 is a wasteful number, since it uses less digits than its factorization.

138716532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 288 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 138716532 is about 11777.7982662296. The cubic root of 138716532 is about 517.6577744794.

The spelling of 138716532 in words is "one hundred thirty-eight million, seven hundred sixteen thousand, five hundred thirty-two".