145093906980 has 432 divisors, whose sum is σ = 519192955008. Its totient is φ = 32503680000.

The previous prime is 145093906973. The next prime is 145093906987. The reversal of 145093906980 is 89609390541.

145093906980 is a `hidden beast` number, since 14 + 509 + 39 + 0 + 6 + 98 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145093906973) and next prime (145093906987).

It is not an unprimeable number, because it can be changed into a prime (145093906987) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 29303505 + ... + 29308455.

It is an arithmetic number, because the mean of its divisors is an integer number (1201835544).

Almost surely, 2^145093906980 is an apocalyptic number.

145093906980 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 145093906980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259596477504).

145093906980 is an abundant number, since it is smaller than the sum of its proper divisors (374099048028).

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

145093906980 is a wasteful number, since it uses less digits than its factorization.

145093906980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 145093906980 in words is "one hundred forty-five billion, ninety-three million, nine hundred six thousand, nine hundred eighty".