138443760 has 240 divisors, whose sum is σ = 572505024. Its totient is φ = 29196288.

The previous prime is 138443749. The next prime is 138443771. The reversal of 138443760 is 67344831.

It is an interprime number because it is at equal distance from previous prime (138443749) and next prime (138443771).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64464 + ... + 66576.

Almost surely, 2^138443760 is an apocalyptic number.

138443760 is a gapful number since it is divisible by the number (10) 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 138443760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286252512).

138443760 is an abundant number, since it is smaller than the sum of its proper divisors (434061264).

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

138443760 is a wasteful number, since it uses less digits than its factorization.

138443760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 138443760 is about 11766.2126446873. The cubic root of 138443760 is about 517.3182446503.

The spelling of 138443760 in words is "one hundred thirty-eight million, four hundred forty-three thousand, seven hundred sixty".