138202854451200 has 6912 divisors, whose sum is σ = 711782443008000. Its totient is φ = 24715984896000.

The previous prime is 138202854451147. The next prime is 138202854451267. The reversal of 138202854451200 is 2154458202831.

138202854451200 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 0 + 2 + 85 + 445 + 120 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 355277260606 + ... + 355277260994.

It is an arithmetic number, because the mean of its divisors is an integer number (102977784000).

Almost surely, 2^{138202854451200} is an apocalyptic number.

138202854451200 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 138202854451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355891221504000).

138202854451200 is an abundant number, since it is smaller than the sum of its proper divisors (573579588556800).

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

138202854451200 is a wasteful number, since it uses less digits than its factorization.

138202854451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 138202854451200 in words is "one hundred thirty-eight trillion, two hundred two billion, eight hundred fifty-four million, four hundred fifty-one thousand, two hundred".