162135936 has 144 divisors (see below), whose sum is σ = 496640040. Its totient is φ = 50761728.

The previous prime is 162135917. The next prime is 162135943. The reversal of 162135936 is 639531261.

162135936 is a `hidden beast` number, since 1 + 62 + 1 + 3 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 162135936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 332685 + ... + 333171.

Almost surely, 2^162135936 is an apocalyptic number.

162135936 is a gapful number since it is divisible by the number (16) 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 162135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248320020).

162135936 is an abundant number, since it is smaller than the sum of its proper divisors (334504104).

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

162135936 is a wasteful number, since it uses less digits than its factorization.

162135936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 509 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 162135936 is about 12733.2610120110. The cubic root of 162135936 is about 545.2886118292.

The spelling of 162135936 in words is "one hundred sixty-two million, one hundred thirty-five thousand, nine hundred thirty-six".