138758592 has 168 divisors, whose sum is σ = 438278016. Its totient is φ = 38723328.

The previous prime is 138758569. The next prime is 138758603. The reversal of 138758592 is 295857831.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3226923 + ... + 3226965.

Almost surely, 2^138758592 is an apocalyptic number.

138758592 is a gapful number since it is divisible by the number (12) 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 138758592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219139008).

138758592 is an abundant number, since it is smaller than the sum of its proper divisors (299519424).

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

138758592 is an frugal number, since it uses more digits than its factorization.

138758592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 55 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The square root of 138758592 is about 11779.5836938323. The cubic root of 138758592 is about 517.7100885655.

The spelling of 138758592 in words is "one hundred thirty-eight million, seven hundred fifty-eight thousand, five hundred ninety-two".