138256384 has 56 divisors (see below), whose sum is σ = 316126368. Its totient is φ = 59228160.

The previous prime is 138256357. The next prime is 138256421. The reversal of 138256384 is 483652831.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×138256384² = 38229655433510912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56139 + ... + 58549.

Almost surely, 2^138256384 is an apocalyptic number.

138256384 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 138256384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158063184).

138256384 is an abundant number, since it is smaller than the sum of its proper divisors (177869984).

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

138256384 is an frugal number, since it uses more digits than its factorization.

138256384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2420 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 138256384 is about 11758.2474884653. The cubic root of 138256384 is about 517.0847520333.

The spelling of 138256384 in words is "one hundred thirty-eight million, two hundred fifty-six thousand, three hundred eighty-four".