165461136 has 120 divisors (see below), whose sum is σ = 469871712. Its totient is φ = 49996800.

The previous prime is 165461113. The next prime is 165461161. The reversal of 165461136 is 631164561.

165461136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 165461097 and 165461106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784071 + ... + 784281.

Almost surely, 2^165461136 is an apocalyptic number.

165461136 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 165461136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234935856).

165461136 is an abundant number, since it is smaller than the sum of its proper divisors (304410576).

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

165461136 is a wasteful number, since it uses less digits than its factorization.

165461136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 264 counting only the distinct ones).

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

The square root of 165461136 is about 12863.1697493270. The cubic root of 165461136 is about 548.9911379089.

The spelling of 165461136 in words is "one hundred sixty-five million, four hundred sixty-one thousand, one hundred thirty-six".