145866147840 has 1440 divisors, whose sum is σ = 631066395960. Its totient is φ = 32105299968.

The previous prime is 145866147827. The next prime is 145866147841. The reversal of 145866147840 is 48741668541.

145866147840 is a `hidden beast` number, since 1 + 4 + 586 + 6 + 14 + 7 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136107869184 + 9758278656 = 368928^2 + 98784^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (145866147841) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1503774672 + ... + 1503774768.

Almost surely, 2^145866147840 is an apocalyptic number.

145866147840 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 145866147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315533197980).

145866147840 is an abundant number, since it is smaller than the sum of its proper divisors (485200248120).

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

145866147840 is an equidigital number, since it uses as much as digits as its factorization.

145866147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 145866147840 in words is "one hundred forty-five billion, eight hundred sixty-six million, one hundred forty-seven thousand, eight hundred forty".