213129504 has 144 divisors (see below), whose sum is σ = 702898560. Its totient is φ = 59996160.

The previous prime is 213129481. The next prime is 213129529. The reversal of 213129504 is 405921312.

213129504 is a `hidden beast` number, since 2 + 131 + 29 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 142392 + ... + 143880.

It is an arithmetic number, because the mean of its divisors is an integer number (4881240).

Almost surely, 2^213129504 is an apocalyptic number.

213129504 is a gapful number since it is divisible by the number (24) 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 213129504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351449280).

213129504 is an abundant number, since it is smaller than the sum of its proper divisors (489769056).

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

213129504 is a wasteful number, since it uses less digits than its factorization.

213129504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 213129504 is about 14598.9555790817. The cubic root of 213129504 is about 597.3302718717.

The spelling of 213129504 in words is "two hundred thirteen million, one hundred twenty-nine thousand, five hundred four".