145180077258447 has 128 divisors (see below), whose sum is σ = 282287128780800. Its totient is φ = 71443754265600.

The previous prime is 145180077258221. The next prime is 145180077258509. The reversal of 145180077258447 is 744852770081541.

It is a happy number.

145180077258447 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 8 + 0 + 0 + 7 + 7 + 2 + 584 + 47 = 666.

It is not a de Polignac number, because 145180077258447 - 2²⁸ = 145179808822991 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145180077250447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 588085983 + ... + 588332799.

It is an arithmetic number, because the mean of its divisors is an integer number (2205368193600).

Almost surely, 2^{145180077258447} is an apocalyptic number.

145180077258447 is a deficient number, since it is larger than the sum of its proper divisors (137107051522353).

145180077258447 is a wasteful number, since it uses less digits than its factorization.

145180077258447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261754 (or 261748 counting only the distinct ones).

The product of its (nonzero) digits is 70246400, while the sum is 63.

The spelling of 145180077258447 in words is "one hundred forty-five trillion, one hundred eighty billion, seventy-seven million, two hundred fifty-eight thousand, four hundred forty-seven".