138545316 has 240 divisors, whose sum is σ = 461418496. Its totient is φ = 35271936.

The previous prime is 138545299. The next prime is 138545333. The reversal of 138545316 is 613545831.

It is an interprime number because it is at equal distance from previous prime (138545299) and next prime (138545333).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (43200) is a multiple of the sum of its prime factors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1090845 + ... + 1090971.

Almost surely, 2^138545316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138545316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230709248).

138545316 is an abundant number, since it is smaller than the sum of its proper divisors (322873180).

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

138545316 is a wasteful number, since it uses less digits than its factorization.

138545316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 138545316 is about 11770.5274308333. The cubic root of 138545316 is about 517.4447073880. Note that the first 3 decimals are identical.

The spelling of 138545316 in words is "one hundred thirty-eight million, five hundred forty-five thousand, three hundred sixteen".