108542138538240 has 4608 divisors, whose sum is σ = 475832525414400. Its totient is φ = 23125819392000.

The previous prime is 108542138538209. The next prime is 108542138538241. The reversal of 108542138538240 is 42835831245801.

It is a happy number.

108542138538240 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 4 + 213 + 8 + 5 + 382 + 40 = 666.

108542138538240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×108542138538240³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (108542138538241) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 828565942975 + ... + 828565943105.

It is an arithmetic number, because the mean of its divisors is an integer number (103262266800).

Almost surely, 2^{108542138538240} is an apocalyptic number.

108542138538240 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 108542138538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237916262707200).

108542138538240 is an abundant number, since it is smaller than the sum of its proper divisors (367290386876160).

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

108542138538240 is a wasteful number, since it uses less digits than its factorization.

108542138538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 108542138538240 in words is "one hundred eight trillion, five hundred forty-two billion, one hundred thirty-eight million, five hundred thirty-eight thousand, two hundred forty".