145205760 has 320 divisors, whose sum is σ = 552321792. Its totient is φ = 31850496.

The previous prime is 145205747. The next prime is 145205773. The reversal of 145205760 is 67502541.

It is an interprime number because it is at equal distance from previous prime (145205747) and next prime (145205773).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1989084 + ... + 1989156.

Almost surely, 2^145205760 is an apocalyptic number.

145205760 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 145205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276160896).

145205760 is an abundant number, since it is smaller than the sum of its proper divisors (407116032).

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

145205760 is an equidigital number, since it uses as much as digits as its factorization.

145205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 145205760 is about 12050.1352689503. The cubic root of 145205760 is about 525.6071705431.

The spelling of 145205760 in words is "one hundred forty-five million, two hundred five thousand, seven hundred sixty".