138385533670800 has 960 divisors, whose sum is σ = 492880264644096. Its totient is φ = 32973063782400.

The previous prime is 138385533670763. The next prime is 138385533670801. The reversal of 138385533670800 is 8076335583831.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (138385533670801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71591066634 + ... + 71591068566.

Almost surely, 2^{138385533670800} is an apocalyptic number.

138385533670800 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 138385533670800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246440132322048).

138385533670800 is an abundant number, since it is smaller than the sum of its proper divisors (354494730973296).

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

138385533670800 is a wasteful number, since it uses less digits than its factorization.

138385533670800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 138385533670800 in words is "one hundred thirty-eight trillion, three hundred eighty-five billion, five hundred thirty-three million, six hundred seventy thousand, eight hundred".