214513152 has 160 divisors (see below), whose sum is σ = 664671744. Its totient is φ = 60211200.

The previous prime is 214513147. The next prime is 214513153. The reversal of 214513152 is 251315412.

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 (214513153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763252 + ... + 763532.

Almost surely, 2^214513152 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 214513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332335872).

214513152 is an abundant number, since it is smaller than the sum of its proper divisors (450158592).

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

214513152 is an equidigital number, since it uses as much as digits as its factorization.

214513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 364 counting only the distinct ones).

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

The square root of 214513152 is about 14646.2675108712. The cubic root of 214513152 is about 598.6201178638.

Adding to 214513152 its reverse (251315412), we get a palindrome (465828564).

The spelling of 214513152 in words is "two hundred fourteen million, five hundred thirteen thousand, one hundred fifty-two".