145857180 has 96 divisors (see below), whose sum is σ = 468840960. Its totient is φ = 33189120.

The previous prime is 145857097. The next prime is 145857181. The reversal of 145857180 is 81758541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145857181) 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 31 ways as a sum of consecutive naturals, for example, 112335 + ... + 113625.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2^145857180 is an apocalyptic number.

145857180 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 145857180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

145857180 is an abundant number, since it is smaller than the sum of its proper divisors (322983780).

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

145857180 is a wasteful number, since it uses less digits than its factorization.

145857180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 39.

The square root of 145857180 is about 12077.1345939341. The cubic root of 145857180 is about 526.3919885500.

The spelling of 145857180 in words is "one hundred forty-five million, eight hundred fifty-seven thousand, one hundred eighty".