145754257680 has 480 divisors, whose sum is σ = 537661837440. Its totient is φ = 36593233920.

The previous prime is 145754257643. The next prime is 145754257711. The reversal of 145754257680 is 86752457541.

It is a happy number.

145754257680 is a `hidden beast` number, since 1 + 4 + 5 + 75 + 425 + 76 + 80 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63898140 + ... + 63900420.

It is an arithmetic number, because the mean of its divisors is an integer number (1120128828).

Almost surely, 2^145754257680 is an apocalyptic number.

145754257680 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 145754257680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268830918720).

145754257680 is an abundant number, since it is smaller than the sum of its proper divisors (391907579760).

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

145754257680 is a wasteful number, since it uses less digits than its factorization.

145754257680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 145754257680 in words is "one hundred forty-five billion, seven hundred fifty-four million, two hundred fifty-seven thousand, six hundred eighty".