145049760 has 144 divisors (see below), whose sum is σ = 498161664. Its totient is φ = 38432256.

The previous prime is 145049701. The next prime is 145049771. The reversal of 145049760 is 67940541.

145049760 is a `hidden beast` number, since 1 + 4 + 504 + 97 + 60 = 666.

145049760 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 (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, 378529 + ... + 378911.

It is an arithmetic number, because the mean of its divisors is an integer number (3459456).

Almost surely, 2^145049760 is an apocalyptic number.

145049760 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 145049760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249080832).

145049760 is an abundant number, since it is smaller than the sum of its proper divisors (353111904).

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

145049760 is a wasteful number, since it uses less digits than its factorization.

145049760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 145049760 is about 12043.6605730982. The cubic root of 145049760 is about 525.4188765905.

The spelling of 145049760 in words is "one hundred forty-five million, forty-nine thousand, seven hundred sixty".