145784212992 has 640 divisors, whose sum is σ = 490843584000. Its totient is φ = 42334617600.

The previous prime is 145784212969. The next prime is 145784213063. The reversal of 145784212992 is 299212487541.

145784212992 is a `hidden beast` number, since 1 + 4 + 578 + 42 + 1 + 29 + 9 + 2 = 666.

145784212992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417719634 + ... + 417719982.

It is an arithmetic number, because the mean of its divisors is an integer number (766943100).

Almost surely, 2^145784212992 is an apocalyptic number.

145784212992 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 145784212992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245421792000).

145784212992 is an abundant number, since it is smaller than the sum of its proper divisors (345059371008).

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

145784212992 is a wasteful number, since it uses less digits than its factorization.

145784212992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 473 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 145784212992 in words is "one hundred forty-five billion, seven hundred eighty-four million, two hundred twelve thousand, nine hundred ninety-two".