145435766400 has 144 divisors (see below), whose sum is σ = 518948246310. Its totient is φ = 38782863360.

The previous prime is 145435766387. The next prime is 145435766401. The reversal of 145435766400 is 4667534541.

145435766400 is a `hidden beast` number, since 1 + 4 + 543 + 5 + 7 + 66 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 137724116544 + 7711649856 = 371112^2 + 87816^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (145435766401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2496127 + ... + 2553726.

Almost surely, 2^145435766400 is an apocalyptic number.

145435766400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145435766400 is an abundant number, since it is smaller than the sum of its proper divisors (373512479910).

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

145435766400 is a wasteful number, since it uses less digits than its factorization.

145435766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049883 (or 5049863 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 145435766400 in words is "one hundred forty-five billion, four hundred thirty-five million, seven hundred sixty-six thousand, four hundred".