138196454400 has 1056 divisors, whose sum is σ = 566544096000. Its totient is φ = 32806010880.

The previous prime is 138196454399. The next prime is 138196454401. The reversal of 138196454400 is 4454691831.

138196454400 is a `hidden beast` number, since 1 + 3 + 8 + 196 + 4 + 54 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (138196454399) and next prime (138196454401).

It is a super-4 number, since 4×138196454400⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (138196454401) by changing a digit.

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, 223257291 + ... + 223257909.

Almost surely, 2^138196454400 is an apocalyptic number.

138196454400 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 138196454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283272048000).

138196454400 is an abundant number, since it is smaller than the sum of its proper divisors (428347641600).

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

138196454400 is a wasteful number, since it uses less digits than its factorization.

138196454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 138196454400 in words is "one hundred thirty-eight billion, one hundred ninety-six million, four hundred fifty-four thousand, four hundred".