138202848000 has 864 divisors, whose sum is σ = 589617799680. Its totient is φ = 31576780800.

The previous prime is 138202847983. The next prime is 138202848031. The reversal of 138202848000 is 848202831.

It is a happy number.

138202848000 is a `hidden beast` number, since 138 + 20 + 28 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×138202848000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54430731 + ... + 54433269.

Almost surely, 2^138202848000 is an apocalyptic number.

138202848000 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 138202848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294808899840).

138202848000 is an abundant number, since it is smaller than the sum of its proper divisors (451414951680).

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

138202848000 is an frugal number, since it uses more digits than its factorization.

138202848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 138202848000 in words is "one hundred thirty-eight billion, two hundred two million, eight hundred forty-eight thousand".