145560652371792 has 180 divisors, whose sum is σ = 473997364900020. Its totient is φ = 41578164827136.

The previous prime is 145560652371787. The next prime is 145560652371857. The reversal of 145560652371792 is 297173256065541.

145560652371792 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 6 + 0 + 6 + 523 + 7 + 17 + 92 = 666.

145560652371792 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 91625787602496 + 53934864769296 = 9572136^2 + 7344036^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25097758 + ... + 30348290.

It is an arithmetic number, because the mean of its divisors is an integer number (2633318693889).

Almost surely, 2^{145560652371792} is an apocalyptic number.

145560652371792 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 145560652371792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236998682450010).

145560652371792 is an abundant number, since it is smaller than the sum of its proper divisors (328436712528228).

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

145560652371792 is a wasteful number, since it uses less digits than its factorization.

145560652371792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5254490 (or 5254474 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 145560652371792 in words is "one hundred forty-five trillion, five hundred sixty billion, six hundred fifty-two million, three hundred seventy-one thousand, seven hundred ninety-two".