145760998680 has 192 divisors, whose sum is σ = 517028728320. Its totient is φ = 35319609600.

The previous prime is 145760998667. The next prime is 145760998703. The reversal of 145760998680 is 86899067541.

145760998680 is a `hidden beast` number, since 14 + 5 + 7 + 609 + 9 + 8 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10015489 + ... + 10030031.

It is an arithmetic number, because the mean of its divisors is an integer number (2692857960).

Almost surely, 2^145760998680 is an apocalyptic number.

145760998680 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 145760998680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258514364160).

145760998680 is an abundant number, since it is smaller than the sum of its proper divisors (371267729640).

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

145760998680 is a wasteful number, since it uses less digits than its factorization.

145760998680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17102 (or 17095 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 145760998680 in words is "one hundred forty-five billion, seven hundred sixty million, nine hundred ninety-eight thousand, six hundred eighty".