138212760 has 128 divisors (see below), whose sum is σ = 486789120. Its totient is φ = 30730752.

The previous prime is 138212747. The next prime is 138212761. The reversal of 138212760 is 67212831.

138212760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138212761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28857 + ... + 33303.

It is an arithmetic number, because the mean of its divisors is an integer number (3803040).

Almost surely, 2^138212760 is an apocalyptic number.

138212760 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 138212760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243394560).

138212760 is an abundant number, since it is smaller than the sum of its proper divisors (348576360).

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

138212760 is a wasteful number, since it uses less digits than its factorization.

138212760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 138212760 is about 11756.3923037639. The cubic root of 138212760 is about 517.0303611076.

The spelling of 138212760 in words is "one hundred thirty-eight million, two hundred twelve thousand, seven hundred sixty".