145119095408880 has 400 divisors, whose sum is σ = 512469544992768. Its totient is φ = 38050145280000.

The previous prime is 145119095408863. The next prime is 145119095408927. The reversal of 145119095408880 is 88804590911541.

145119095408880 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 1 + 9 + 0 + 9 + 540 + 8 + 8 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1107113745 + ... + 1107244815.

Almost surely, 2^{145119095408880} is an apocalyptic number.

145119095408880 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 145119095408880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256234772496384).

145119095408880 is an abundant number, since it is smaller than the sum of its proper divisors (367350449583888).

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

145119095408880 is a wasteful number, since it uses less digits than its factorization.

145119095408880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133958 (or 133943 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 63.

The spelling of 145119095408880 in words is "one hundred forty-five trillion, one hundred nineteen billion, ninety-five million, four hundred eight thousand, eight hundred eighty".