117135901440 has 360 divisors, whose sum is σ = 437365783008. Its totient is φ = 29877534720.

The previous prime is 117135901439. The next prime is 117135901471. The reversal of 117135901440 is 44109531711.

117135901440 is a `hidden beast` number, since 1 + 1 + 7 + 13 + 590 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×117135901440² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 117135901395 and 117135901404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2360080 + ... + 2409200.

Almost surely, 2^117135901440 is an apocalyptic number.

117135901440 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 117135901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218682891504).

117135901440 is an abundant number, since it is smaller than the sum of its proper divisors (320229881568).

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

117135901440 is an equidigital number, since it uses as much as digits as its factorization.

117135901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49177 (or 49154 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 117135901440 in words is "one hundred seventeen billion, one hundred thirty-five million, nine hundred one thousand, four hundred forty".