214135152 has 240 divisors, whose sum is σ = 728286720. Its totient is φ = 52968960.

The previous prime is 214135147. The next prime is 214135153. The reversal of 214135152 is 251531412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214135153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 934974 + ... + 935202.

It is an arithmetic number, because the mean of its divisors is an integer number (3034528).

Almost surely, 2^214135152 is an apocalyptic number.

214135152 is a gapful number since it is divisible by the number (22) 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 214135152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364143360).

214135152 is an abundant number, since it is smaller than the sum of its proper divisors (514151568).

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

214135152 is a wasteful number, since it uses less digits than its factorization.

214135152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 214135152 is about 14633.3575094713. The cubic root of 214135152 is about 598.2682956976.

214135152 divided by its sum of digits (24) gives a palindrome (8922298).

Adding to 214135152 its reverse (251531412), we get a palindrome (465666564).

It can be divided in two parts, 21413 and 5152, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 214135152 in words is "two hundred fourteen million, one hundred thirty-five thousand, one hundred fifty-two".