138151320 has 64 divisors (see below), whose sum is σ = 420664320. Its totient is φ = 36288384.

The previous prime is 138151313. The next prime is 138151357. The reversal of 138151320 is 23151831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552 + ... + 16631.

It is an arithmetic number, because the mean of its divisors is an integer number (6572880).

Almost surely, 2^138151320 is an apocalyptic number.

138151320 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 138151320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210332160).

138151320 is an abundant number, since it is smaller than the sum of its proper divisors (282513000).

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

138151320 is a wasteful number, since it uses less digits than its factorization.

138151320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17264 (or 17260 counting only the distinct ones).

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

The square root of 138151320 is about 11753.7789667834. The cubic root of 138151320 is about 516.9537375657.

The spelling of 138151320 in words is "one hundred thirty-eight million, one hundred fifty-one thousand, three hundred twenty".