213408140 has 96 divisors (see below), whose sum is σ = 530095104. Its totient is φ = 71285760.

The previous prime is 213408137. The next prime is 213408203. The reversal of 213408140 is 41804312.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 160157 + ... + 161483.

It is an arithmetic number, because the mean of its divisors is an integer number (5521824).

Almost surely, 2^213408140 is an apocalyptic number.

213408140 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 213408140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265047552).

213408140 is an abundant number, since it is smaller than the sum of its proper divisors (316686964).

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

213408140 is a wasteful number, since it uses less digits than its factorization.

213408140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 213408140 is about 14608.4954735250. The cubic root of 213408140 is about 597.5904661606.

The spelling of 213408140 in words is "two hundred thirteen million, four hundred eight thousand, one hundred forty".