145104213240 has 512 divisors, whose sum is σ = 578969856000. Its totient is φ = 32019079680.

The previous prime is 145104213229. The next prime is 145104213257. The reversal of 145104213240 is 42312401541.

145104213240 is a `hidden beast` number, since 1 + 451 + 0 + 42 + 132 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 17754355 + ... + 17762525.

It is an arithmetic number, because the mean of its divisors is an integer number (1130800500).

Almost surely, 2^145104213240 is an apocalyptic number.

145104213240 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 145104213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289484928000).

145104213240 is an abundant number, since it is smaller than the sum of its proper divisors (433865642760).

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

145104213240 is an equidigital number, since it uses as much as digits as its factorization.

145104213240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8217 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 145104213240 its reverse (42312401541), we get a palindrome (187416614781).

The spelling of 145104213240 in words is "one hundred forty-five billion, one hundred four million, two hundred thirteen thousand, two hundred forty".