145603145565540 has 960 divisors, whose sum is σ = 536634043856064. Its totient is φ = 32715014012928.

The previous prime is 145603145565511. The next prime is 145603145565607. The reversal of 145603145565540 is 45565541306541.

145603145565540 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 0 + 3 + 1 + 45 + 56 + 5 + 540 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 141892837486884 + 3710308078656 = 11911878^2 + 1926216^2 .

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 319 ways as a sum of consecutive naturals, for example, 4146212062 + ... + 4146247178.

Almost surely, 2^{145603145565540} is an apocalyptic number.

145603145565540 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 145603145565540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268317021928032).

145603145565540 is an abundant number, since it is smaller than the sum of its proper divisors (391030898290524).

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

145603145565540 is a wasteful number, since it uses less digits than its factorization.

145603145565540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35518 (or 35507 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 54.

The spelling of 145603145565540 in words is "one hundred forty-five trillion, six hundred three billion, one hundred forty-five million, five hundred sixty-five thousand, five hundred forty".