145618104075840 has 896 divisors, whose sum is σ = 563183270115840. Its totient is φ = 35126850355200.

The previous prime is 145618104075839. The next prime is 145618104075859. The reversal of 145618104075840 is 48570401816541.

145618104075840 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 1 + 8 + 10 + 40 + 7 + 584 + 0 = 666.

It is a super-3 number, since 3×145618104075840³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52062245322 + ... + 52062248118.

Almost surely, 2^{145618104075840} is an apocalyptic number.

145618104075840 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 145618104075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281591635057920).

145618104075840 is an abundant number, since it is smaller than the sum of its proper divisors (417565166040000).

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

145618104075840 is a wasteful number, since it uses less digits than its factorization.

145618104075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5348 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 145618104075840 in words is "one hundred forty-five trillion, six hundred eighteen billion, one hundred four million, seventy-five thousand, eight hundred forty".