213438120 has 96 divisors (see below), whose sum is σ = 744876000. Its totient is φ = 48784512.

The previous prime is 213438119. The next prime is 213438133. The reversal of 213438120 is 21834312.

213438120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12270 + ... + 24029.

It is an arithmetic number, because the mean of its divisors is an integer number (7759125).

Almost surely, 2^213438120 is an apocalyptic number.

213438120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213438120 is an abundant number, since it is smaller than the sum of its proper divisors (531437880).

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

213438120 is a wasteful number, since it uses less digits than its factorization.

213438120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36327 (or 36316 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 213438120 is about 14609.5215527409. The cubic root of 213438120 is about 597.6184484161.

The spelling of 213438120 in words is "two hundred thirteen million, four hundred thirty-eight thousand, one hundred twenty".