133075677460 has 192 divisors, whose sum is σ = 322910945280. Its totient is φ = 45595630080.

The previous prime is 133075677457. The next prime is 133075677461. The reversal of 133075677460 is 64776570331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133075677461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100890681 + ... + 100891999.

It is an arithmetic number, because the mean of its divisors is an integer number (1681827840).

Almost surely, 2^133075677460 is an apocalyptic number.

133075677460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133075677460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161455472640).

133075677460 is an abundant number, since it is smaller than the sum of its proper divisors (189835267820).

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

133075677460 is a wasteful number, since it uses less digits than its factorization.

133075677460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 49.

The spelling of 133075677460 in words is "one hundred thirty-three billion, seventy-five million, six hundred seventy-seven thousand, four hundred sixty".