138197664000 has 1440 divisors, whose sum is σ = 580590122112. Its totient is φ = 32348160000.

The previous prime is 138197663953. The next prime is 138197664013. The reversal of 138197664000 is 466791831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 1054943935 + ... + 1054944065.

Almost surely, 2^138197664000 is an apocalyptic number.

138197664000 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 138197664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290295061056).

138197664000 is an abundant number, since it is smaller than the sum of its proper divisors (442392458112).

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

138197664000 is a wasteful number, since it uses less digits than its factorization.

138197664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 138197664000 in words is "one hundred thirty-eight billion, one hundred ninety-seven million, six hundred sixty-four thousand".