145176960 has 128 divisors (see below), whose sum is σ = 468840960. Its totient is φ = 38205440.

The previous prime is 145176953. The next prime is 145176971. The reversal of 145176960 is 69671541.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 158905 + ... + 159815.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2^145176960 is an apocalyptic number.

145176960 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 145176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

145176960 is an abundant number, since it is smaller than the sum of its proper divisors (323664000).

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

145176960 is an equidigital number, since it uses as much as digits as its factorization.

145176960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 145176960 is about 12048.9402023580. The cubic root of 145176960 is about 525.5724187367.

The spelling of 145176960 in words is "one hundred forty-five million, one hundred seventy-six thousand, nine hundred sixty".