133676094240 has 144 divisors (see below), whose sum is σ = 491259715128. Its totient is φ = 32904880128.

The previous prime is 133676094193. The next prime is 133676094257. The reversal of 133676094240 is 42490676331.

133676094240 is a `hidden beast` number, since 1 + 3 + 36 + 7 + 609 + 4 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100217831184 + 33458263056 = 316572^2 + 182916^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×133676094240² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3551689 + ... + 3589128.

Almost surely, 2^133676094240 is an apocalyptic number.

133676094240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133676094240 is an abundant number, since it is smaller than the sum of its proper divisors (357583620888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133676094240 is a wasteful number, since it uses less digits than its factorization.

133676094240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7140851 (or 7140840 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 133676094240 in words is "one hundred thirty-three billion, six hundred seventy-six million, ninety-four thousand, two hundred forty".