138546215808000 has 6336 divisors, whose sum is σ = 659402411286528. Its totient is φ = 25546752000000.

The previous prime is 138546215807999. The next prime is 138546215808001. The reversal of 138546215808000 is 808512645831.

It is an interprime number because it is at equal distance from previous prime (138546215807999) and next prime (138546215808001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138546215808001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 917524607925 + ... + 917524608075.

Almost surely, 2^{138546215808000} is an apocalyptic number.

138546215808000 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 138546215808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329701205643264).

138546215808000 is an abundant number, since it is smaller than the sum of its proper divisors (520856195478528).

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

138546215808000 is a wasteful number, since it uses less digits than its factorization.

138546215808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 138546215808000 in words is "one hundred thirty-eight trillion, five hundred forty-six billion, two hundred fifteen million, eight hundred eight thousand".