145104817761792 has 1440 divisors, whose sum is σ = 506113199015424. Its totient is φ = 40705829683200.

The previous prime is 145104817761773. The next prime is 145104817761829. The reversal of 145104817761792 is 297167718401541.

145104817761792 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 0 + 4 + 8 + 1 + 7 + 7 + 617 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 438383135067 + ... + 438383135397.

Almost surely, 2^{145104817761792} is an apocalyptic number.

145104817761792 is a gapful number since it is divisible by the number (12) 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 145104817761792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253056599507712).

145104817761792 is an abundant number, since it is smaller than the sum of its proper divisors (361008381253632).

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

145104817761792 is an frugal number, since it uses more digits than its factorization.

145104817761792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 145104817761792 in words is "one hundred forty-five trillion, one hundred four billion, eight hundred seventeen million, seven hundred sixty-one thousand, seven hundred ninety-two".