213153720 has 128 divisors (see below), whose sum is σ = 694310400. Its totient is φ = 52038144.

The previous prime is 213153697. The next prime is 213153749. The reversal of 213153720 is 27351312.

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 31 ways as a sum of consecutive naturals, for example, 216349 + ... + 217331.

It is an arithmetic number, because the mean of its divisors is an integer number (5424300).

Almost surely, 2^213153720 is an apocalyptic number.

213153720 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 213153720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347155200).

213153720 is an abundant number, since it is smaller than the sum of its proper divisors (481156680).

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

213153720 is a wasteful number, since it uses less digits than its factorization.

213153720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 213153720 is about 14599.7849299228. The cubic root of 213153720 is about 597.3528941143.

The spelling of 213153720 in words is "two hundred thirteen million, one hundred fifty-three thousand, seven hundred twenty".