213138792 has 192 divisors, whose sum is σ = 653028480. Its totient is φ = 62447616.

The previous prime is 213138643. The next prime is 213138803. The reversal of 213138792 is 297831312.

213138792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1886128 + ... + 1886240.

It is an arithmetic number, because the mean of its divisors is an integer number (3401190).

Almost surely, 2^213138792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213138792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326514240).

213138792 is an abundant number, since it is smaller than the sum of its proper divisors (439889688).

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

213138792 is a wasteful number, since it uses less digits than its factorization.

213138792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 213138792 is about 14599.2736805637. The cubic root of 213138792 is about 597.3389487917.

The spelling of 213138792 in words is "two hundred thirteen million, one hundred thirty-eight thousand, seven hundred ninety-two".