138947536 has 60 divisors (see below), whose sum is σ = 337277892. Its totient is φ = 54964224.

The previous prime is 138947533. The next prime is 138947539. The reversal of 138947536 is 635749831.

It is an interprime number because it is at equal distance from previous prime (138947533) and next prime (138947539).

It can be written as a sum of positive squares in 2 ways, for example, as 57153600 + 81793936 = 7560^2 + 9044^2 .

It is a super-3 number, since 3×138947536³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138947533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3376 + ... + 17008.

Almost surely, 2^138947536 is an apocalyptic number.

138947536 is a gapful number since it is divisible by the number (16) 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 138947536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168638946).

138947536 is an abundant number, since it is smaller than the sum of its proper divisors (198330356).

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

138947536 is a wasteful number, since it uses less digits than its factorization.

138947536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13668 (or 13655 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The square root of 138947536 is about 11787.6009433642. The cubic root of 138947536 is about 517.9449661523.

The spelling of 138947536 in words is "one hundred thirty-eight million, nine hundred forty-seven thousand, five hundred thirty-six".