138413220 has 48 divisors (see below), whose sum is σ = 422791488. Its totient is φ = 33554560.

The previous prime is 138413179. The next prime is 138413221. The reversal of 138413220 is 22314831.

It is not an unprimeable number, because it can be changed into a prime (138413221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104199 + ... + 105518.

It is an arithmetic number, because the mean of its divisors is an integer number (8808156).

Almost surely, 2^138413220 is an apocalyptic number.

138413220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138413220 is an abundant number, since it is smaller than the sum of its proper divisors (284378268).

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

138413220 is a wasteful number, since it uses less digits than its factorization.

138413220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209740 (or 209738 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 138413220 is about 11764.9147893217. The cubic root of 138413220 is about 517.2802025817.

The spelling of 138413220 in words is "one hundred thirty-eight million, four hundred thirteen thousand, two hundred twenty".