114042132000 has 144 divisors (see below), whose sum is σ = 404735654232. Its totient is φ = 30411225600.

The previous prime is 114042131993. The next prime is 114042132007. The reversal of 114042132000 is 231240411.

114042132000 is a `hidden beast` number, since 1 + 1 + 40 + 421 + 3 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114042131993) and next prime (114042132007).

It can be written as a sum of positive squares in 4 ways, for example, as 8076257424 + 105965874576 = 89868^2 + 325524^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×114042132000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (114042132007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1547919 + ... + 1619918.

Almost surely, 2^114042132000 is an apocalyptic number.

114042132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114042132000 is an abundant number, since it is smaller than the sum of its proper divisors (290693522232).

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

114042132000 is a wasteful number, since it uses less digits than its factorization.

114042132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167868 (or 3167847 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114042132000 its reverse (231240411), we get a palindrome (114273372411).

The spelling of 114042132000 in words is "one hundred fourteen billion, forty-two million, one hundred thirty-two thousand".