138064435200 has 720 divisors, whose sum is σ = 517213536840. Its totient is φ = 36548444160.

The previous prime is 138064435183. The next prime is 138064435283. The reversal of 138064435200 is 2534460831.

138064435200 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 6 + 443 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1007769532 + ... + 1007769668.

Almost surely, 2^138064435200 is an apocalyptic number.

138064435200 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 138064435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258606768420).

138064435200 is an abundant number, since it is smaller than the sum of its proper divisors (379149101640).

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

138064435200 is an frugal number, since it uses more digits than its factorization.

138064435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 138064435200 in words is "one hundred thirty-eight billion, sixty-four million, four hundred thirty-five thousand, two hundred".