138535817616 has 375 divisors, whose sum is σ = 469989545883. Its totient is φ = 39394071360.

The previous prime is 138535817593. The next prime is 138535817617. The reversal of 138535817616 is 616718535831.

It is a happy number.

The square root of 138535817616 is 372204.

It is a perfect power (a square), and thus also a powerful number.

138535817616 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 3 + 5 + 8 + 17 + 616 = 666.

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 (138535817617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 656567751 + ... + 656567961.

Almost surely, 2^138535817616 is an apocalyptic number.

138535817616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138535817616 is the 372204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138535817616

138535817616 is an abundant number, since it is smaller than the sum of its proper divisors (331453728267).

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

138535817616 is an frugal number, since it uses more digits than its factorization.

138535817616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 223 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 138535817616 in words is "one hundred thirty-eight billion, five hundred thirty-five million, eight hundred seventeen thousand, six hundred sixteen".