145287580032 has 192 divisors, whose sum is σ = 479589271200. Its totient is φ = 41355804672.

The previous prime is 145287580021. The next prime is 145287580051. The reversal of 145287580032 is 230085782541.

145287580032 is a `hidden beast` number, since 1 + 45 + 28 + 7 + 580 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×145287580032² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145287580032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2135728 + ... + 2202704.

Almost surely, 2^145287580032 is an apocalyptic number.

145287580032 is a gapful number since it is divisible by the number (12) 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 145287580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239794635600).

145287580032 is an abundant number, since it is smaller than the sum of its proper divisors (334301691168).

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

145287580032 is a wasteful number, since it uses less digits than its factorization.

145287580032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67273 (or 67258 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 145287580032 in words is "one hundred forty-five billion, two hundred eighty-seven million, five hundred eighty thousand, thirty-two".