79146144 has 288 divisors, whose sum is σ = 290594304. Its totient is φ = 19837440.

The previous prime is 79146107. The next prime is 79146149. The reversal of 79146144 is 44164197.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×79146144² = 12528224220137472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 79146099 and 79146108.

It is not an unprimeable number, because it can be changed into a prime (79146149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 953527 + ... + 953609.

It is an arithmetic number, because the mean of its divisors is an integer number (1009008).

Almost surely, 2^79146144 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 79146144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145297152).

79146144 is an abundant number, since it is smaller than the sum of its proper divisors (211448160).

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

79146144 is a wasteful number, since it uses less digits than its factorization.

79146144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 79146144 is about 8896.4118609696. The cubic root of 79146144 is about 429.3484706758.

The spelling of 79146144 in words is "seventy-nine million, one hundred forty-six thousand, one hundred forty-four".