145841740531200 has 3600 divisors, whose sum is σ = 676743185378304. Its totient is φ = 30348745113600.

The previous prime is 145841740531189. The next prime is 145841740531213. The reversal of 145841740531200 is 2135047148541.

145841740531200 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 4 + 1 + 7 + 405 + 31 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 65020837279 + ... + 65020839521.

Almost surely, 2^{145841740531200} is an apocalyptic number.

145841740531200 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 145841740531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338371592689152).

145841740531200 is an abundant number, since it is smaller than the sum of its proper divisors (530901444847104).

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

145841740531200 is a wasteful number, since it uses less digits than its factorization.

145841740531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

Adding to 145841740531200 its reverse (2135047148541), we get a palindrome (147976787679741).

The spelling of 145841740531200 in words is "one hundred forty-five trillion, eight hundred forty-one billion, seven hundred forty million, five hundred thirty-one thousand, two hundred".