117135275400 has 576 divisors, whose sum is σ = 466580761920. Its totient is φ = 25961011200.

The previous prime is 117135275399. The next prime is 117135275407. The reversal of 117135275400 is 4572531711.

117135275400 is a `hidden beast` number, since 11 + 71 + 3 + 527 + 54 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117135275407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27539674 + ... + 27543926.

It is an arithmetic number, because the mean of its divisors is an integer number (810036045).

Almost surely, 2^117135275400 is an apocalyptic number.

117135275400 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 117135275400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233290380960).

117135275400 is an abundant number, since it is smaller than the sum of its proper divisors (349445486520).

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

117135275400 is a wasteful number, since it uses less digits than its factorization.

117135275400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 117135275400 in words is "one hundred seventeen billion, one hundred thirty-five million, two hundred seventy-five thousand, four hundred".