138019576320 has 320 divisors, whose sum is σ = 490990896000. Its totient is φ = 36750163968.

The previous prime is 138019576301. The next prime is 138019576333. The reversal of 138019576320 is 23675910831.

138019576320 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 1 + 9 + 5 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69741091 + ... + 69743069.

It is an arithmetic number, because the mean of its divisors is an integer number (1534346550).

Almost surely, 2^138019576320 is an apocalyptic number.

138019576320 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 138019576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245495448000).

138019576320 is an abundant number, since it is smaller than the sum of its proper divisors (352971319680).

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

138019576320 is a wasteful number, since it uses less digits than its factorization.

138019576320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 138019576320 in words is "one hundred thirty-eight billion, nineteen million, five hundred seventy-six thousand, three hundred twenty".