145741784760 has 640 divisors, whose sum is σ = 576301320000. Its totient is φ = 32567546880.

The previous prime is 145741784729. The next prime is 145741784761. The reversal of 145741784760 is 67487147541.

145741784760 is a `hidden beast` number, since 1 + 4 + 574 + 1 + 7 + 8 + 4 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 145741784697 and 145741784706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145741784761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 205559286 + ... + 205559994.

Almost surely, 2^145741784760 is an apocalyptic number.

145741784760 is a gapful number since it is divisible by the number (10) 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 145741784760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288150660000).

145741784760 is an abundant number, since it is smaller than the sum of its proper divisors (430559535240).

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

145741784760 is a wasteful number, since it uses less digits than its factorization.

145741784760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 145741784760 in words is "one hundred forty-five billion, seven hundred forty-one million, seven hundred eighty-four thousand, seven hundred sixty".