138029760 has 168 divisors, whose sum is σ = 518044176. Its totient is φ = 33454080.

The previous prime is 138029743. The next prime is 138029761. The reversal of 138029760 is 67920831.

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 (138029761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29502 + ... + 33858.

Almost surely, 2^138029760 is an apocalyptic number.

138029760 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 138029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259022088).

138029760 is an abundant number, since it is smaller than the sum of its proper divisors (380014416).

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

138029760 is a wasteful number, since it uses less digits than its factorization.

138029760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 138029760 is about 11748.6067259058. The cubic root of 138029760 is about 516.8020697262.

The spelling of 138029760 in words is "one hundred thirty-eight million, twenty-nine thousand, seven hundred sixty".