145277944240 has 160 divisors (see below), whose sum is σ = 399490056000. Its totient is φ = 48436776960.

The previous prime is 145277944237. The next prime is 145277944247. The reversal of 145277944240 is 42449772541.

145277944240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145277944240² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145277944247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1661946 + ... + 1747174.

It is an arithmetic number, because the mean of its divisors is an integer number (2496812850).

Almost surely, 2^145277944240 is an apocalyptic number.

145277944240 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 145277944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199745028000).

145277944240 is an abundant number, since it is smaller than the sum of its proper divisors (254212111760).

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

145277944240 is a wasteful number, since it uses less digits than its factorization.

145277944240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85415 (or 85409 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 145277944240 in words is "one hundred forty-five billion, two hundred seventy-seven million, nine hundred forty-four thousand, two hundred forty".