108537138 has 64 divisors (see below), whose sum is σ = 259891200. Its totient is φ = 33477840.

The previous prime is 108537137. The next prime is 108537173. The reversal of 108537138 is 831735801.

108537138 is a `hidden beast` number, since 108 + 537 + 13 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (108537133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37093 + ... + 39911.

It is an arithmetic number, because the mean of its divisors is an integer number (4060800).

Almost surely, 2^108537138 is an apocalyptic number.

108537138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108537138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129945600).

108537138 is an abundant number, since it is smaller than the sum of its proper divisors (151354062).

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

108537138 is a wasteful number, since it uses less digits than its factorization.

108537138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 108537138 is about 10418.1158565261. The cubic root of 108537138 is about 477.0085042588.

The spelling of 108537138 in words is "one hundred eight million, five hundred thirty-seven thousand, one hundred thirty-eight".