145104131040 has 384 divisors, whose sum is σ = 532841379840. Its totient is φ = 32801587200.

The previous prime is 145104130993. The next prime is 145104131077. The reversal of 145104131040 is 40131401541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 145104131040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9776425 + ... + 9791255.

It is an arithmetic number, because the mean of its divisors is an integer number (1387607760).

Almost surely, 2^145104131040 is an apocalyptic number.

145104131040 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 145104131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266420689920).

145104131040 is an abundant number, since it is smaller than the sum of its proper divisors (387737248800).

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

145104131040 is a wasteful number, since it uses less digits than its factorization.

145104131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14986 (or 14978 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 145104131040 its reverse (40131401541), we get a palindrome (185235532581).

The spelling of 145104131040 in words is "one hundred forty-five billion, one hundred four million, one hundred thirty-one thousand, forty".