145037827584 has 560 divisors, whose sum is σ = 475629495264. Its totient is φ = 43893964800.

The previous prime is 145037827567. The next prime is 145037827601. The reversal of 145037827584 is 485728730541.

145037827584 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 37 + 8 + 27 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (145037827567) and next prime (145037827601).

It is a super-2 number, since 2×145037827584² (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 145037827584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 344507694 + ... + 344508114.

Almost surely, 2^145037827584 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 145037827584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237814747632).

145037827584 is an abundant number, since it is smaller than the sum of its proper divisors (330591667680).

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

145037827584 is an frugal number, since it uses more digits than its factorization.

145037827584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 510 counting only the distinct ones).

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

The spelling of 145037827584 in words is "one hundred forty-five billion, thirty-seven million, eight hundred twenty-seven thousand, five hundred eighty-four".