145721467584 has 280 divisors, whose sum is σ = 538554094848. Its totient is φ = 37849628160.

The previous prime is 145721467583. The next prime is 145721467589. The reversal of 145721467584 is 485764127541.

It is a happy number.

145721467584 is a `hidden beast` number, since 1 + 4 + 57 + 2 + 1 + 4 + 6 + 7 + 584 = 666.

It is a super-2 number, since 2×145721467584² (a number of 23 digits) contains 22 as substring.

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 145721467584.

It is not an unprimeable number, because it can be changed into a prime (145721467583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216637 + ... + 581699.

Almost surely, 2^145721467584 is an apocalyptic number.

145721467584 is a gapful number since it is divisible by the number (14) 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 145721467584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269277047424).

145721467584 is an abundant number, since it is smaller than the sum of its proper divisors (392832627264).

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

145721467584 is a wasteful number, since it uses less digits than its factorization.

145721467584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365105 (or 365086 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 145721467584 in words is "one hundred forty-five billion, seven hundred twenty-one million, four hundred sixty-seven thousand, five hundred eighty-four".