138238464 has 320 divisors, whose sum is σ = 483969024. Its totient is φ = 34062336.

The previous prime is 138238459. The next prime is 138238481. The reversal of 138238464 is 464832831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 3214827 + ... + 3214869.

Almost surely, 2^138238464 is an apocalyptic number.

138238464 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 138238464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241984512).

138238464 is an abundant number, since it is smaller than the sum of its proper divisors (345730560).

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

138238464 is a wasteful number, since it uses less digits than its factorization.

138238464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 138238464 is about 11757.4854454513. The cubic root of 138238464 is about 517.0624105475.

The spelling of 138238464 in words is "one hundred thirty-eight million, two hundred thirty-eight thousand, four hundred sixty-four".