133761307520 has 128 divisors (see below), whose sum is σ = 336225578400. Its totient is φ = 50812231680.

The previous prime is 133761307517. The next prime is 133761307583. The reversal of 133761307520 is 25703167331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1073087 + ... + 1191233.

Almost surely, 2^133761307520 is an apocalyptic number.

133761307520 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 133761307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168112789200).

133761307520 is an abundant number, since it is smaller than the sum of its proper divisors (202464270880).

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

133761307520 is a wasteful number, since it uses less digits than its factorization.

133761307520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118256 (or 118244 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 38.

The spelling of 133761307520 in words is "one hundred thirty-three billion, seven hundred sixty-one million, three hundred seven thousand, five hundred twenty".