133514411745 has 48 divisors (see below), whose sum is σ = 252348754752. Its totient is φ = 59754689280.

The previous prime is 133514411713. The next prime is 133514411749. The reversal of 133514411745 is 547114415331.

It is not a de Polignac number, because 133514411745 - 2⁵ = 133514411713 is a prime.

It is a super-2 number, since 2×133514411745² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133514411749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2366134 + ... + 2421903.

It is an arithmetic number, because the mean of its divisors is an integer number (5257265724).

Almost surely, 2^133514411745 is an apocalyptic number.

133514411745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133514411745 is a deficient number, since it is larger than the sum of its proper divisors (118834343007).

133514411745 is a wasteful number, since it uses less digits than its factorization.

133514411745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788082 (or 4788069 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The spelling of 133514411745 in words is "one hundred thirty-three billion, five hundred fourteen million, four hundred eleven thousand, seven hundred forty-five".