145343289600 has 540 divisors, whose sum is σ = 540718278100. Its totient is φ = 38519193600.

The previous prime is 145343289569. The next prime is 145343289601. The reversal of 145343289600 is 6982343541.

145343289600 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 4 + 32 + 8 + 9 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 41576841216 + 103766448384 = 203904^2 + 322128^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×145343289600² (a number of 23 digits) contains 22 as substring.

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 (145343289601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 93829626 + ... + 93831174.

Almost surely, 2^145343289600 is an apocalyptic number.

145343289600 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 145343289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270359139050).

145343289600 is an abundant number, since it is smaller than the sum of its proper divisors (395374988500).

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

145343289600 is a wasteful number, since it uses less digits than its factorization.

145343289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 145343289600 in words is "one hundred forty-five billion, three hundred forty-three million, two hundred eighty-nine thousand, six hundred".