145031587488 has 288 divisors, whose sum is σ = 432994161600. Its totient is φ = 46007377920.

The previous prime is 145031587471. The next prime is 145031587529. The reversal of 145031587488 is 884785130541.

145031587488 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 3 + 158 + 7 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×145031587488² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85362063 + ... + 85363761.

It is an arithmetic number, because the mean of its divisors is an integer number (1503451950).

Almost surely, 2^145031587488 is an apocalyptic number.

145031587488 is a gapful number since it is divisible by the number (18) 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 145031587488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216497080800).

145031587488 is an abundant number, since it is smaller than the sum of its proper divisors (287962574112).

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

145031587488 is a wasteful number, since it uses less digits than its factorization.

145031587488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1921 counting only the distinct ones).

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

The spelling of 145031587488 in words is "one hundred forty-five billion, thirty-one million, five hundred eighty-seven thousand, four hundred eighty-eight".