116134416 has 120 divisors (see below), whose sum is σ = 339603264. Its totient is φ = 37013760.

The previous prime is 116134399. The next prime is 116134439. The reversal of 116134416 is 614431611.

116134416 is a `hidden beast` number, since 1 + 1 + 613 + 4 + 41 + 6 = 666.

It is a super-2 number, since 2×116134416² = 26974405159322112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 116134416.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378135 + ... + 378441.

Almost surely, 2^116134416 is an apocalyptic number.

116134416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

116134416 is the 6816-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116134416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169801632).

116134416 is an abundant number, since it is smaller than the sum of its proper divisors (223468848).

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

116134416 is a wasteful number, since it uses less digits than its factorization.

116134416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 116134416 is about 10776.5679137655. The cubic root of 116134416 is about 487.8881988799. Note that the first 3 decimals are identical.

The spelling of 116134416 in words is "one hundred sixteen million, one hundred thirty-four thousand, four hundred sixteen".