138549312 has 224 divisors, whose sum is σ = 458663040. Its totient is φ = 40642560.

The previous prime is 138549283. The next prime is 138549319. The reversal of 138549312 is 213945831.

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 (138549319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703198 + ... + 703394.

Almost surely, 2^138549312 is an apocalyptic number.

138549312 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 138549312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229331520).

138549312 is an abundant number, since it is smaller than the sum of its proper divisors (320113728).

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

138549312 is a wasteful number, since it uses less digits than its factorization.

138549312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 138549312 is about 11770.6971756137. The cubic root of 138549312 is about 517.4496821482.

The spelling of 138549312 in words is "one hundred thirty-eight million, five hundred forty-nine thousand, three hundred twelve".