145281738240 has 320 divisors, whose sum is σ = 524527945920. Its totient is φ = 38105579520.

The previous prime is 145281738233. The next prime is 145281738289. The reversal of 145281738240 is 42837182541.

145281738240 is a `hidden beast` number, since 1 + 4 + 528 + 1 + 7 + 3 + 82 + 40 = 666.

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

It is a super-2 number, since 2×145281738240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 4199092 + ... + 4233548.

It is an arithmetic number, because the mean of its divisors is an integer number (1639149831).

Almost surely, 2^145281738240 is an apocalyptic number.

145281738240 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 145281738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262263972960).

145281738240 is an abundant number, since it is smaller than the sum of its proper divisors (379246207680).

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

145281738240 is an equidigital number, since it uses as much as digits as its factorization.

145281738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34550 (or 34528 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 145281738240 in words is "one hundred forty-five billion, two hundred eighty-one million, seven hundred thirty-eight thousand, two hundred forty".