138376803600 has 900 divisors, whose sum is σ = 591431212944. Its totient is φ = 30878184960.

The previous prime is 138376803599. The next prime is 138376803619. The reversal of 138376803600 is 6308673831.

138376803600 is a `hidden beast` number, since 1 + 3 + 8 + 37 + 6 + 8 + 0 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 68265787 + ... + 68267813.

Almost surely, 2^138376803600 is an apocalyptic number.

138376803600 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 138376803600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295715606472).

138376803600 is an abundant number, since it is smaller than the sum of its proper divisors (453054409344).

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

138376803600 is a wasteful number, since it uses less digits than its factorization.

138376803600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 138376803600 in words is "one hundred thirty-eight billion, three hundred seventy-six million, eight hundred three thousand, six hundred".