212355136 has 112 divisors (see below), whose sum is σ = 517038336. Its totient is φ = 84547584.

The previous prime is 212355127. The next prime is 212355161. The reversal of 212355136 is 631553212.

212355136 is a nontrivial binomial coefficient, being equal to C(20609, 2).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380970 + ... + 381526.

Almost surely, 2^212355136 is an apocalyptic number.

212355136 is the 20608-th triangular number.

212355136 is the 6870-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212355136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258519168).

212355136 is an abundant number, since it is smaller than the sum of its proper divisors (304683200).

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

212355136 is a wasteful number, since it uses less digits than its factorization.

212355136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 626 counting only the distinct ones).

The product of its digits is 5400, while the sum is 28.

The square root of 212355136 is about 14572.4100957940. The cubic root of 212355136 is about 596.6059629819.

The spelling of 212355136 in words is "two hundred twelve million, three hundred fifty-five thousand, one hundred thirty-six".