114135092352 has 192 divisors, whose sum is σ = 336825216000. Its totient is φ = 37085368320.

The previous prime is 114135092329. The next prime is 114135092353. The reversal of 114135092352 is 253290531411.

It is a happy number.

114135092352 is a `hidden beast` number, since 1 + 1 + 413 + 5 + 0 + 9 + 235 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (114135092353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7271649 + ... + 7287327.

It is an arithmetic number, because the mean of its divisors is an integer number (1754298000).

Almost surely, 2^114135092352 is an apocalyptic number.

114135092352 is a gapful number since it is divisible by the number (12) 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 114135092352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168412608000).

114135092352 is an abundant number, since it is smaller than the sum of its proper divisors (222690123648).

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

114135092352 is a wasteful number, since it uses less digits than its factorization.

114135092352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15859 (or 15844 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 114135092352 in words is "one hundred fourteen billion, one hundred thirty-five million, ninety-two thousand, three hundred fifty-two".