147268080 has 120 divisors (see below), whose sum is σ = 516136608. Its totient is φ = 37559808.

The previous prime is 147268039. The next prime is 147268097. The reversal of 147268080 is 80862741.

147268080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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, 12114 + ... + 21006.

Almost surely, 2^147268080 is an apocalyptic number.

147268080 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 147268080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258068304).

147268080 is an abundant number, since it is smaller than the sum of its proper divisors (368868528).

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

147268080 is a wasteful number, since it uses less digits than its factorization.

147268080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8935 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 147268080 is about 12135.4060500669. The cubic root of 147268080 is about 528.0838365499.

The spelling of 147268080 in words is "one hundred forty-seven million, two hundred sixty-eight thousand, eighty".