145166562541 has 48 divisors (see below), whose sum is σ = 198477615168. Its totient is φ = 104369126400.

The previous prime is 145166562539. The next prime is 145166562613. The reversal of 145166562541 is 145265661541.

It is not a de Polignac number, because 145166562541 - 2¹ = 145166562539 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 145166562491 and 145166562500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145166562521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27485821 + ... + 27491101.

It is an arithmetic number, because the mean of its divisors is an integer number (4134950316).

Almost surely, 2^145166562541 is an apocalyptic number.

145166562541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145166562541 is a deficient number, since it is larger than the sum of its proper divisors (53311052627).

145166562541 is a wasteful number, since it uses less digits than its factorization.

145166562541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9242 (or 9235 counting only the distinct ones).

The product of its digits is 864000, while the sum is 46.

It can be divided in two parts, 145166 and 562541, that added together give a palindrome (707707).

The spelling of 145166562541 in words is "one hundred forty-five billion, one hundred sixty-six million, five hundred sixty-two thousand, five hundred forty-one".