161477120 has 80 divisors (see below), whose sum is σ = 442525248. Its totient is φ = 55357440.

The previous prime is 161477093. The next prime is 161477149. The reversal of 161477120 is 21774161.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13415 + ... + 22425.

Almost surely, 2^161477120 is an apocalyptic number.

161477120 is a gapful number since it is divisible by the number (10) 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 161477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221262624).

161477120 is an abundant number, since it is smaller than the sum of its proper divisors (281048128).

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

161477120 is an frugal number, since it uses more digits than its factorization.

161477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9041 (or 9025 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 161477120 is about 12707.3647936935. The cubic root of 161477120 is about 544.5490419920.

The spelling of 161477120 in words is "one hundred sixty-one million, four hundred seventy-seven thousand, one hundred twenty".