162006125736 has 288 divisors, whose sum is σ = 524324495520. Its totient is φ = 41344853760.

The previous prime is 162006125719. The next prime is 162006125753. The reversal of 162006125736 is 637521600261.

It is an interprime number because it is at equal distance from previous prime (162006125719) and next prime (162006125753).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 162006125694 and 162006125703.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14686255 + ... + 14697281.

It is an arithmetic number, because the mean of its divisors is an integer number (1820571165).

Almost surely, 2^162006125736 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 162006125736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262162247760).

162006125736 is an abundant number, since it is smaller than the sum of its proper divisors (362318369784).

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

162006125736 is a wasteful number, since it uses less digits than its factorization.

162006125736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11125 (or 11083 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

Adding to 162006125736 its reverse (637521600261), we get a palindrome (799527725997).

The spelling of 162006125736 in words is "one hundred sixty-two billion, six million, one hundred twenty-five thousand, seven hundred thirty-six".