138234574080 has 432 divisors, whose sum is σ = 497791344960. Its totient is φ = 36728930304.

The previous prime is 138234574069. The next prime is 138234574103. The reversal of 138234574080 is 80475432831.

138234574080 is a `hidden beast` number, since 1 + 3 + 8 + 234 + 5 + 7 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

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, 109796491 + ... + 109797749.

It is an arithmetic number, because the mean of its divisors is an integer number (1152294780).

Almost surely, 2^138234574080 is an apocalyptic number.

138234574080 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 138234574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248895672480).

138234574080 is an abundant number, since it is smaller than the sum of its proper divisors (359556770880).

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

138234574080 is an equidigital number, since it uses as much as digits as its factorization.

138234574080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 138234574080 in words is "one hundred thirty-eight billion, two hundred thirty-four million, five hundred seventy-four thousand, eighty".