138234754980 has 384 divisors, whose sum is σ = 524676096000. Its totient is φ = 29510853120.

The previous prime is 138234754937. The next prime is 138234755011. The reversal of 138234754980 is 89457432831.

It is a happy number.

138234754980 is a `hidden beast` number, since 1 + 3 + 82 + 3 + 4 + 75 + 498 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5085666 + ... + 5112774.

It is an arithmetic number, because the mean of its divisors is an integer number (1366344000).

Almost surely, 2^138234754980 is an apocalyptic number.

138234754980 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 138234754980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262338048000).

138234754980 is an abundant number, since it is smaller than the sum of its proper divisors (386441341020).

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

138234754980 is a wasteful number, since it uses less digits than its factorization.

138234754980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27224 (or 27216 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 138234754980 in words is "one hundred thirty-eight billion, two hundred thirty-four million, seven hundred fifty-four thousand, nine hundred eighty".