162053136 has 100 divisors (see below), whose sum is σ = 536062912. Its totient is φ = 46298304.

The previous prime is 162053123. The next prime is 162053141. The reversal of 162053136 is 631350261.

162053136 is a `hidden beast` number, since 1 + 620 + 5 + 3 + 1 + 36 = 666.

It is a super-2 number, since 2×162053136² = 52522437774868992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 141 + ... + 18003.

Almost surely, 2^162053136 is an apocalyptic number.

162053136 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 162053136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268031456).

162053136 is an abundant number, since it is smaller than the sum of its proper divisors (374009776).

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

162053136 is a wasteful number, since it uses less digits than its factorization.

162053136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17890 (or 17875 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 162053136 is about 12730.0092694389. The cubic root of 162053136 is about 545.1957728898.

It can be divided in two parts, 1620 and 53136, that added together give a square (54756 = 234²).

The spelling of 162053136 in words is "one hundred sixty-two million, fifty-three thousand, one hundred thirty-six".