39135130455168 has 1152 divisors, whose sum is σ = 128222142048000. Its totient is φ = 11444150108160.

The previous prime is 39135130455133. The next prime is 39135130455251. The reversal of 39135130455168 is 86155403153193.

It is a happy number.

39135130455168 is a `hidden beast` number, since 3 + 9 + 1 + 3 + 51 + 30 + 4 + 551 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163745315593 + ... + 163745315831.

It is an arithmetic number, because the mean of its divisors is an integer number (111303942750).

Almost surely, 2^{39135130455168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39135130455168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64111071024000).

39135130455168 is an abundant number, since it is smaller than the sum of its proper divisors (89087011592832).

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

39135130455168 is a wasteful number, since it uses less digits than its factorization.

39135130455168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 39135130455168 in words is "thirty-nine trillion, one hundred thirty-five billion, one hundred thirty million, four hundred fifty-five thousand, one hundred sixty-eight".