138494815200 has 1728 divisors, whose sum is σ = 628384780800. Its totient is φ = 29262643200.

The previous prime is 138494815159. The next prime is 138494815201. The reversal of 138494815200 is 2518494831.

138494815200 is a `hidden beast` number, since 1 + 3 + 8 + 49 + 4 + 81 + 520 + 0 = 666.

It is a super-3 number, since 3×138494815200³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138494815201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1427781552 + ... + 1427781648.

It is an arithmetic number, because the mean of its divisors is an integer number (363648600).

Almost surely, 2^138494815200 is an apocalyptic number.

138494815200 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 138494815200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314192390400).

138494815200 is an abundant number, since it is smaller than the sum of its proper divisors (489889965600).

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

138494815200 is a wasteful number, since it uses less digits than its factorization.

138494815200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 138494815200 in words is "one hundred thirty-eight billion, four hundred ninety-four million, eight hundred fifteen thousand, two hundred".