216138516 has 48 divisors (see below), whose sum is σ = 558405120. Its totient is φ = 64516320.

The previous prime is 216138499. The next prime is 216138523. The reversal of 216138516 is 615831612.

216138516 = 130² + 131² + ... + 866².

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3376 + ... + 21063.

It is an arithmetic number, because the mean of its divisors is an integer number (11633440).

Almost surely, 2^216138516 is an apocalyptic number.

It is an amenable number.

216138516 is an abundant number, since it is smaller than the sum of its proper divisors (342266604).

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

216138516 is a wasteful number, since it uses less digits than its factorization.

216138516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24524 (or 24522 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 216138516 is about 14701.6501114671. The cubic root of 216138516 is about 600.1282281495.

The spelling of 216138516 in words is "two hundred sixteen million, one hundred thirty-eight thousand, five hundred sixteen".