213137496 has 192 divisors, whose sum is σ = 687697920. Its totient is φ = 58786560.

The previous prime is 213137471. The next prime is 213137503. The reversal of 213137496 is 694731312.

213137496 is a `hidden beast` number, since 2 + 131 + 37 + 496 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213137496.

It is a congruent number.

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, 1307511 + ... + 1307673.

It is an arithmetic number, because the mean of its divisors is an integer number (3581760).

Almost surely, 2^213137496 is an apocalyptic number.

213137496 is a gapful number since it is divisible by the number (26) 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 213137496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343848960).

213137496 is an abundant number, since it is smaller than the sum of its proper divisors (474560424).

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

213137496 is a wasteful number, since it uses less digits than its factorization.

213137496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 319 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 213137496 is about 14599.2292947265. The cubic root of 213137496 is about 597.3377380738.

The spelling of 213137496 in words is "two hundred thirteen million, one hundred thirty-seven thousand, four hundred ninety-six".