138994464 has 96 divisors (see below), whose sum is σ = 418836096. Its totient is φ = 39536640.

The previous prime is 138994441. The next prime is 138994507. The reversal of 138994464 is 464499831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×138994464² = 38638922045294592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 266524 + ... + 267044.

It is an arithmetic number, because the mean of its divisors is an integer number (4362876).

Almost surely, 2^138994464 is an apocalyptic number.

138994464 is a gapful number since it is divisible by the number (14) 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 138994464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209418048).

138994464 is an abundant number, since it is smaller than the sum of its proper divisors (279841632).

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

138994464 is a wasteful number, since it uses less digits than its factorization.

138994464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 930 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 138994464 is about 11789.5913415182. The cubic root of 138994464 is about 518.0032696583.

The spelling of 138994464 in words is "one hundred thirty-eight million, nine hundred ninety-four thousand, four hundred sixty-four".