138106500 has 144 divisors (see below), whose sum is σ = 468074880. Its totient is φ = 31550400.

The previous prime is 138106489. The next prime is 138106517. The reversal of 138106500 is 5601831.

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, 72561 + ... + 74439.

It is an arithmetic number, because the mean of its divisors is an integer number (3250520).

Almost surely, 2^138106500 is an apocalyptic number.

138106500 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 138106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234037440).

138106500 is an abundant number, since it is smaller than the sum of its proper divisors (329968380).

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

138106500 is a wasteful number, since it uses less digits than its factorization.

138106500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 138106500 is about 11751.8721912723. The cubic root of 138106500 is about 516.8978269584.

The spelling of 138106500 in words is "one hundred thirty-eight million, one hundred six thousand, five hundred".