138046154400 has 648 divisors, whose sum is σ = 608119765344. Its totient is φ = 28627430400.

The previous prime is 138046154381. The next prime is 138046154401. The reversal of 138046154400 is 4451640831.

138046154400 is a `hidden beast` number, since 1 + 38 + 0 + 4 + 615 + 4 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138046154401) 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 107 ways as a sum of consecutive naturals, for example, 276645351 + ... + 276645849.

It is an arithmetic number, because the mean of its divisors is an integer number (938456428).

Almost surely, 2^138046154400 is an apocalyptic number.

138046154400 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 138046154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304059882672).

138046154400 is an abundant number, since it is smaller than the sum of its proper divisors (470073610944).

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

138046154400 is a wasteful number, since it uses less digits than its factorization.

138046154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 138046154400 in words is "one hundred thirty-eight billion, forty-six million, one hundred fifty-four thousand, four hundred".