145077745680 has 1440 divisors, whose sum is σ = 644628741120. Its totient is φ = 30203228160.

The previous prime is 145077745669. The next prime is 145077745691. The reversal of 145077745680 is 86547770541.

145077745680 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 7 + 7 + 74 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145077745669) and next prime (145077745691).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4679927265 + ... + 4679927295.

It is an arithmetic number, because the mean of its divisors is an integer number (447658848).

Almost surely, 2^145077745680 is an apocalyptic number.

145077745680 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 145077745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322314370560).

145077745680 is an abundant number, since it is smaller than the sum of its proper divisors (499550995440).

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

145077745680 is an equidigital number, since it uses as much as digits as its factorization.

145077745680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 145077745680 in words is "one hundred forty-five billion, seventy-seven million, seven hundred forty-five thousand, six hundred eighty".