145055267350560 has 480 divisors, whose sum is σ = 585090261245952. Its totient is φ = 33153561999360.

The previous prime is 145055267350537. The next prime is 145055267350573. The reversal of 145055267350560 is 65053762550541.

145055267350560 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 5 + 5 + 2 + 6 + 73 + 5 + 0 + 560 = 666.

145055267350560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×145055267350560² (a number of 29 digits) contains 22 as substring.

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 = 145055267350497 and 145055267350506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2066838670 + ... + 2066908850.

Almost surely, 2^{145055267350560} is an apocalyptic number.

145055267350560 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 145055267350560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292545130622976).

145055267350560 is an abundant number, since it is smaller than the sum of its proper divisors (440034993895392).

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

145055267350560 is a wasteful number, since it uses less digits than its factorization.

145055267350560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92998 (or 92981 counting only the distinct ones).

The product of its (nonzero) digits is 18900000, while the sum is 54.

The spelling of 145055267350560 in words is "one hundred forty-five trillion, fifty-five billion, two hundred sixty-seven million, three hundred fifty thousand, five hundred sixty".