213136380 has 192 divisors, whose sum is σ = 693665280. Its totient is φ = 54286848.

The previous prime is 213136367. The next prime is 213136381. The reversal of 213136380 is 83631312.

It is a happy number.

213136380 is a `hidden beast` number, since 2 + 13 + 13 + 638 + 0 = 666.

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 (213136381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1555672 + ... + 1555808.

It is an arithmetic number, because the mean of its divisors is an integer number (3612840).

Almost surely, 2^213136380 is an apocalyptic number.

213136380 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 213136380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346832640).

213136380 is an abundant number, since it is smaller than the sum of its proper divisors (480528900).

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

213136380 is a wasteful number, since it uses less digits than its factorization.

213136380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 213136380 is about 14599.1910734807. The cubic root of 213136380 is about 597.3366955073.

Adding to 213136380 its reverse (83631312), we get a palindrome (296767692).

The spelling of 213136380 in words is "two hundred thirteen million, one hundred thirty-six thousand, three hundred eighty".