215165142126 has 128 divisors (see below), whose sum is σ = 532902758400. Its totient is φ = 63804948480.

The previous prime is 215165142121. The next prime is 215165142133. The reversal of 215165142126 is 621241561512.

215165142126 is a `hidden beast` number, since 2 + 1 + 5 + 16 + 514 + 2 + 126 = 666.

It is a super-2 number, since 2×215165142126² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215165142121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5282350 + ... + 5322926.

It is an arithmetic number, because the mean of its divisors is an integer number (4163302800).

Almost surely, 2^215165142126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215165142126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266451379200).

215165142126 is an abundant number, since it is smaller than the sum of its proper divisors (317737616274).

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

215165142126 is a wasteful number, since it uses less digits than its factorization.

215165142126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40791 (or 40785 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 215165142126 in words is "two hundred fifteen billion, one hundred sixty-five million, one hundred forty-two thousand, one hundred twenty-six".