145481760 has 144 divisors (see below), whose sum is σ = 512628480. Its totient is φ = 37532160.

The previous prime is 145481759. The next prime is 145481821. The reversal of 145481760 is 67184541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 43011 + ... + 46269.

It is an arithmetic number, because the mean of its divisors is an integer number (3559920).

Almost surely, 2^145481760 is an apocalyptic number.

145481760 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 145481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256314240).

145481760 is an abundant number, since it is smaller than the sum of its proper divisors (367146720).

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

145481760 is a wasteful number, since it uses less digits than its factorization.

145481760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 145481760 is about 12061.5819857927. The cubic root of 145481760 is about 525.9399758982.

The spelling of 145481760 in words is "one hundred forty-five million, four hundred eighty-one thousand, seven hundred sixty".