214129536 has 64 divisors (see below), whose sum is σ = 570775680. Its totient is φ = 71126528.

The previous prime is 214129507. The next prime is 214129549. The reversal of 214129536 is 635921412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 214129497 and 214129506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132445 + ... + 134051.

It is an arithmetic number, because the mean of its divisors is an integer number (8918370).

Almost surely, 2^214129536 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 214129536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285387840).

214129536 is an abundant number, since it is smaller than the sum of its proper divisors (356646144).

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

214129536 is a wasteful number, since it uses less digits than its factorization.

214129536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1959 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 214129536 is about 14633.1656178696. The cubic root of 214129536 is about 598.2630655052.

The spelling of 214129536 in words is "two hundred fourteen million, one hundred twenty-nine thousand, five hundred thirty-six".