138911760 has 400 divisors, whose sum is σ = 555808176. Its totient is φ = 31850496.

The previous prime is 138911741. The next prime is 138911761. The reversal of 138911760 is 67119831.

It can be written as a sum of positive squares in 8 ways, for example, as 2862864 + 136048896 = 1692^2 + 11664^2 .

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

It is not an unprimeable number, because it can be changed into a prime (138911761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1432032 + ... + 1432128.

Almost surely, 2^138911760 is an apocalyptic number.

138911760 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 138911760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277904088).

138911760 is an abundant number, since it is smaller than the sum of its proper divisors (416896416).

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

138911760 is a wasteful number, since it uses less digits than its factorization.

138911760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 138911760 is about 11786.0833188978. The cubic root of 138911760 is about 517.9005091094.

It can be divided in two parts, 13891 and 1760, that added together give a palindrome (15651).

The spelling of 138911760 in words is "one hundred thirty-eight million, nine hundred eleven thousand, seven hundred sixty".