145049040 has 240 divisors, whose sum is σ = 536215680. Its totient is φ = 34974720.

The previous prime is 145049027. The next prime is 145049053. The reversal of 145049040 is 40940541.

It is an interprime number because it is at equal distance from previous prime (145049027) and next prime (145049053).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 145048995 and 145049013.

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 47 ways as a sum of consecutive naturals, for example, 314410 + ... + 314870.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^145049040 is an apocalyptic number.

145049040 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 145049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

145049040 is an abundant number, since it is smaller than the sum of its proper divisors (391166640).

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

145049040 is a wasteful number, since it uses less digits than its factorization.

145049040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 145049040 is about 12043.6306818168. The cubic root of 145049040 is about 525.4180072286.

Adding to 145049040 its reverse (40940541), we get a palindrome (185989581).

The spelling of 145049040 in words is "one hundred forty-five million, forty-nine thousand, forty".