133438115745 has 60 divisors (see below), whose sum is σ = 262922606100. Its totient is φ = 64697244480.

The previous prime is 133438115731. The next prime is 133438115777. The reversal of 133438115745 is 547511834331.

133438115745 is a `hidden beast` number, since 1 + 3 + 34 + 38 + 11 + 574 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88385506209 + 45052609536 = 297297^2 + 212256^2 .

It is not a de Polignac number, because 133438115745 - 2¹³ = 133438107553 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 133438115745.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1312470 + ... + 1410479.

It is an arithmetic number, because the mean of its divisors is an integer number (4382043435).

Almost surely, 2^133438115745 is an apocalyptic number.

133438115745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133438115745 is a deficient number, since it is larger than the sum of its proper divisors (129484490355).

133438115745 is a wasteful number, since it uses less digits than its factorization.

133438115745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722988 (or 2722968 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 133438115745 in words is "one hundred thirty-three billion, four hundred thirty-eight million, one hundred fifteen thousand, seven hundred forty-five".