138305370 has 128 divisors (see below), whose sum is σ = 423014400. Its totient is φ = 28173312.

The previous prime is 138305359. The next prime is 138305393. The reversal of 138305370 is 73503831.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66811 + ... + 68849.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2^138305370 is an apocalyptic number.

138305370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138305370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

138305370 is an abundant number, since it is smaller than the sum of its proper divisors (284709030).

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

138305370 is a wasteful number, since it uses less digits than its factorization.

138305370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 138305370 is about 11760.3303525029. The cubic root of 138305370 is about 517.1458147294.

The spelling of 138305370 in words is "one hundred thirty-eight million, three hundred five thousand, three hundred seventy".