214135488 has 252 divisors, whose sum is σ = 743068872. Its totient is φ = 60963840.

The previous prime is 214135487. The next prime is 214135501. The reversal of 214135488 is 884531412.

214135488 is a `hidden beast` number, since 2 + 141 + 35 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is not an unprimeable number, because it can be changed into a prime (214135483) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761908 + ... + 762188.

It is an arithmetic number, because the mean of its divisors is an integer number (2948686).

Almost surely, 2^214135488 is an apocalyptic number.

214135488 is a gapful number since it is divisible by the number (28) 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 214135488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371534436).

214135488 is an abundant number, since it is smaller than the sum of its proper divisors (528933384).

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

214135488 is an equidigital number, since it uses as much as digits as its factorization.

214135488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 293 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 214135488 is about 14633.3689900856. The cubic root of 214135488 is about 598.2686086122.

The spelling of 214135488 in words is "two hundred fourteen million, one hundred thirty-five thousand, four hundred eighty-eight".