145047158784 has 608 divisors, whose sum is σ = 495262471680. Its totient is φ = 42042654720.

The previous prime is 145047158741. The next prime is 145047158881. The reversal of 145047158784 is 487851740541.

It is a happy number.

145047158784 is a `hidden beast` number, since 1 + 4 + 50 + 4 + 7 + 1 + 587 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145047158784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6306398197 + ... + 6306398219.

Almost surely, 2^145047158784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145047158784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247631235840).

145047158784 is an abundant number, since it is smaller than the sum of its proper divisors (350215312896).

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

145047158784 is an frugal number, since it uses more digits than its factorization.

145047158784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 145047158784 in words is "one hundred forty-five billion, forty-seven million, one hundred fifty-eight thousand, seven hundred eighty-four".