212135760 has 200 divisors, whose sum is σ = 776006880. Its totient is φ = 53561088.

The previous prime is 212135743. The next prime is 212135761. The reversal of 212135760 is 67531212.

It is a happy number.

212135760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×212135760³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212135761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122259 + ... + 123981.

Almost surely, 2^212135760 is an apocalyptic number.

212135760 is a gapful number since it is divisible by the number (20) 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 212135760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388003440).

212135760 is an abundant number, since it is smaller than the sum of its proper divisors (563871120).

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

212135760 is a wasteful number, since it uses less digits than its factorization.

212135760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 212135760 is about 14564.8810499777. The cubic root of 212135760 is about 596.4004485663.

Adding to 212135760 its reverse (67531212), we get a palindrome (279666972).

The spelling of 212135760 in words is "two hundred twelve million, one hundred thirty-five thousand, seven hundred sixty".