145137419568 has 160 divisors (see below), whose sum is σ = 422908646400. Its totient is φ = 47647756800.

The previous prime is 145137419549. The next prime is 145137419617. The reversal of 145137419568 is 865914731541.

145137419568 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 3 + 74 + 1 + 9 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 39534373 + ... + 39538043.

It is an arithmetic number, because the mean of its divisors is an integer number (2643179040).

Almost surely, 2^145137419568 is an apocalyptic number.

145137419568 is a gapful number since it is divisible by the number (18) 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 145137419568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211454323200).

145137419568 is an abundant number, since it is smaller than the sum of its proper divisors (277771226832).

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

145137419568 is a wasteful number, since it uses less digits than its factorization.

145137419568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5036 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 145137419568 in words is "one hundred forty-five billion, one hundred thirty-seven million, four hundred nineteen thousand, five hundred sixty-eight".