214427136 has 320 divisors, whose sum is σ = 746380800. Its totient is φ = 54190080.

The previous prime is 214427117. The next prime is 214427149. The reversal of 214427136 is 631724412.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5795310 + ... + 5795346.

It is an arithmetic number, because the mean of its divisors is an integer number (2332440).

Almost surely, 2^214427136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214427136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373190400).

214427136 is an abundant number, since it is smaller than the sum of its proper divisors (531953664).

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

214427136 is an equidigital number, since it uses as much as digits as its factorization.

214427136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 214427136 is about 14643.3307686469. The cubic root of 214427136 is about 598.5400951217.

It can be divided in two parts, 214 and 427136, that added together give a triangular number (427350 = T₉₂₄).

The spelling of 214427136 in words is "two hundred fourteen million, four hundred twenty-seven thousand, one hundred thirty-six".