401145300153 has 80 divisors (see below), whose sum is σ = 685635184080. Its totient is φ = 231903834624.

The previous prime is 401145300133. The next prime is 401145300187. The reversal of 401145300153 is 351003541104.

It is a happy number.

401145300153 is a `hidden beast` number, since 4 + 0 + 114 + 530 + 0 + 15 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4210704 + 401141089449 = 2052^2 + 633357^2 .

It is not a de Polignac number, because 401145300153 - 2⁸ = 401145299897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401145300133) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 952351 + ... + 1307387.

It is an arithmetic number, because the mean of its divisors is an integer number (8570439801).

Almost surely, 2^401145300153 is an apocalyptic number.

It is an amenable number.

401145300153 is a deficient number, since it is larger than the sum of its proper divisors (284489883927).

401145300153 is a wasteful number, since it uses less digits than its factorization.

401145300153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355128 (or 355119 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 401145300153 its reverse (351003541104), we get a palindrome (752148841257).

The spelling of 401145300153 in words is "four hundred one billion, one hundred forty-five million, three hundred thousand, one hundred fifty-three".