145505860243200 has 2592 divisors, whose sum is σ = 582458920243200. Its totient is φ = 34488778752000.

The previous prime is 145505860243157. The next prime is 145505860243201. The reversal of 145505860243200 is 2342068505541.

145505860243200 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 0 + 5 + 8 + 602 + 4 + 32 + 0 + 0 = 666.

It is a super-2 number, since 2×145505860243200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145505860243201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 331448428581 + ... + 331448429019.

It is an arithmetic number, because the mean of its divisors is an integer number (224714089600).

Almost surely, 2^{145505860243200} is an apocalyptic number.

145505860243200 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 145505860243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291229460121600).

145505860243200 is an abundant number, since it is smaller than the sum of its proper divisors (436953060000000).

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

145505860243200 is a wasteful number, since it uses less digits than its factorization.

145505860243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 145505860243200 in words is "one hundred forty-five trillion, five hundred five billion, eight hundred sixty million, two hundred forty-three thousand, two hundred".