138964464 has 80 divisors (see below), whose sum is σ = 400688640. Its totient is φ = 46111680.

The previous prime is 138964453. The next prime is 138964481. The reversal of 138964464 is 464469831.

It is a super-3 number, since 3×138964464³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116479 + ... + 117665.

It is an arithmetic number, because the mean of its divisors is an integer number (5008608).

Almost surely, 2^138964464 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 138964464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200344320).

138964464 is an abundant number, since it is smaller than the sum of its proper divisors (261724176).

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

138964464 is a wasteful number, since it uses less digits than its factorization.

138964464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1463 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 138964464 is about 11788.3189641272. The cubic root of 138964464 is about 517.9659990702.

The spelling of 138964464 in words is "one hundred thirty-eight million, nine hundred sixty-four thousand, four hundred sixty-four".