138788160 has 224 divisors, whose sum is σ = 530595840. Its totient is φ = 30025728.

The previous prime is 138788159. The next prime is 138788161. The reversal of 138788160 is 61887831.

It is an interprime number because it is at equal distance from previous prime (138788159) and next prime (138788161).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138788161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127137 + ... + 128223.

Almost surely, 2^138788160 is an apocalyptic number.

138788160 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 138788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265297920).

138788160 is an abundant number, since it is smaller than the sum of its proper divisors (391807680).

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

138788160 is a wasteful number, since it uses less digits than its factorization.

138788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 138788160 is about 11780.8386798224. The cubic root of 138788160 is about 517.7468588164.

The spelling of 138788160 in words is "one hundred thirty-eight million, seven hundred eighty-eight thousand, one hundred sixty".