138998332800 has 288 divisors, whose sum is σ = 514350334680. Its totient is φ = 37066014720.

The previous prime is 138998332771. The next prime is 138998332819. The reversal of 138998332800 is 8233899831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 688224 + ... + 866976.

Almost surely, 2^138998332800 is an apocalyptic number.

138998332800 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 138998332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257175167340).

138998332800 is an abundant number, since it is smaller than the sum of its proper divisors (375352001880).

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

138998332800 is an equidigital number, since it uses as much as digits as its factorization.

138998332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178792 (or 178763 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 138998332800 in words is "one hundred thirty-eight billion, nine hundred ninety-eight million, three hundred thirty-two thousand, eight hundred".