114688035 has 192 divisors, whose sum is σ = 275788800. Its totient is φ = 44098560.

The previous prime is 114688033. The next prime is 114688061. The reversal of 114688035 is 530886411.

It is not a de Polignac number, because 114688035 - 2¹ = 114688033 is a prime.

It is a super-2 number, since 2×114688035² = 26306690744322450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114688033) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1943836 + ... + 1943894.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^114688035 is an apocalyptic number.

114688035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114688035 is the 5355-th decagonal number.

114688035 is an abundant number, since it is smaller than the sum of its proper divisors (161100765).

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

114688035 is a wasteful number, since it uses less digits than its factorization.

114688035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 114688035 is about 10709.2499737377. The cubic root of 114688035 is about 485.8542849237.

It can be divided in two parts, 11468 and 8035, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 114688035 in words is "one hundred fourteen million, six hundred eighty-eight thousand, thirty-five".