145280497560 has 256 divisors, whose sum is σ = 485782272000. Its totient is φ = 34463170560.

The previous prime is 145280497559. The next prime is 145280497567. The reversal of 145280497560 is 65794082541.

145280497560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145280497560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145280497567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11777476 + ... + 11789804.

It is an arithmetic number, because the mean of its divisors is an integer number (1897587000).

Almost surely, 2^145280497560 is an apocalyptic number.

145280497560 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 145280497560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242891136000).

145280497560 is an abundant number, since it is smaller than the sum of its proper divisors (340501774440).

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

145280497560 is a wasteful number, since it uses less digits than its factorization.

145280497560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12546 (or 12542 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 145280497560 in words is "one hundred forty-five billion, two hundred eighty million, four hundred ninety-seven thousand, five hundred sixty".