138195023400 has 432 divisors, whose sum is σ = 559882290240. Its totient is φ = 31586889600.

The previous prime is 138195023389. The next prime is 138195023401. The reversal of 138195023400 is 4320591831.

138195023400 is a `hidden beast` number, since 138 + 19 + 502 + 3 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (138195023401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2352385 + ... + 2410415.

It is an arithmetic number, because the mean of its divisors is an integer number (1296023820).

Almost surely, 2^138195023400 is an apocalyptic number.

138195023400 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 138195023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279941145120).

138195023400 is an abundant number, since it is smaller than the sum of its proper divisors (421687266840).

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

138195023400 is a wasteful number, since it uses less digits than its factorization.

138195023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58076 (or 58048 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 138195023400 in words is "one hundred thirty-eight billion, one hundred ninety-five million, twenty-three thousand, four hundred".