138754598400 has 1920 divisors, whose sum is σ = 624720729600. Its totient is φ = 29727129600.

The previous prime is 138754598263. The next prime is 138754598431. The reversal of 138754598400 is 4895457831.

138754598400 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 5 + 4 + 598 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1227916744 + ... + 1227916856.

It is an arithmetic number, because the mean of its divisors is an integer number (325375380).

Almost surely, 2^138754598400 is an apocalyptic number.

138754598400 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 138754598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312360364800).

138754598400 is an abundant number, since it is smaller than the sum of its proper divisors (485966131200).

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

138754598400 is a wasteful number, since it uses less digits than its factorization.

138754598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 138754598400 in words is "one hundred thirty-eight billion, seven hundred fifty-four million, five hundred ninety-eight thousand, four hundred".