145960837102080 has 4320 divisors, whose sum is σ = 735674254780608. Its totient is φ = 26343191347200.

The previous prime is 145960837102013. The next prime is 145960837102123. The reversal of 145960837102080 is 80201738069541.

145960837102080 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 60 + 8 + 371 + 0 + 208 + 0 = 666.

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 431 ways as a sum of consecutive naturals, for example, 35678520835 + ... + 35678524925.

It is a 1-persistent number, because it is pandigital, but 2⋅145960837102080 = 291921674204160 is not.

Almost surely, 2^{145960837102080} is an apocalyptic number.

145960837102080 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 145960837102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367837127390304).

145960837102080 is an abundant number, since it is smaller than the sum of its proper divisors (589713417678528).

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

145960837102080 is a wasteful number, since it uses less digits than its factorization.

145960837102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 145960837102080 in words is "one hundred forty-five trillion, nine hundred sixty billion, eight hundred thirty-seven million, one hundred two thousand, eighty".