114532133760 has 1440 divisors, whose sum is σ = 488998679400. Its totient is φ = 25455513600.

The previous prime is 114532133753. The next prime is 114532133777. The reversal of 114532133760 is 67331235411.

114532133760 is a `hidden beast` number, since 1 + 1 + 453 + 2 + 133 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 3694584945 + ... + 3694584975.

Almost surely, 2^114532133760 is an apocalyptic number.

114532133760 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 114532133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244499339700).

114532133760 is an abundant number, since it is smaller than the sum of its proper divisors (374466545640).

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

114532133760 is a wasteful number, since it uses less digits than its factorization.

114532133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 114532133760 in words is "one hundred fourteen billion, five hundred thirty-two million, one hundred thirty-three thousand, seven hundred sixty".