145095023880 has 384 divisors, whose sum is σ = 488763007200. Its totient is φ = 37312364544.

The previous prime is 145095023873. The next prime is 145095023893. The reversal of 145095023880 is 88320590541.

145095023880 is a `hidden beast` number, since 1 + 450 + 95 + 0 + 2 + 38 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6367082436 + 138727941444 = 79794^2 + 372462^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372994726 + ... + 372995114.

Almost surely, 2^145095023880 is an apocalyptic number.

145095023880 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 145095023880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244381503600).

145095023880 is an abundant number, since it is smaller than the sum of its proper divisors (343667983320).

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

145095023880 is a wasteful number, since it uses less digits than its factorization.

145095023880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 145095023880 in words is "one hundred forty-five billion, ninety-five million, twenty-three thousand, eight hundred eighty".