133620811776 has 576 divisors, whose sum is σ = 433273276800. Its totient is φ = 39473381376.

The previous prime is 133620811759. The next prime is 133620811789. The reversal of 133620811776 is 677118026331.

133620811776 is a `hidden beast` number, since 1 + 3 + 3 + 620 + 8 + 1 + 17 + 7 + 6 = 666.

133620811776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426903396 + ... + 426903708.

It is an arithmetic number, because the mean of its divisors is an integer number (752210550).

Almost surely, 2^133620811776 is an apocalyptic number.

133620811776 is a gapful number since it is divisible by the number (16) 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 133620811776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216636638400).

133620811776 is an abundant number, since it is smaller than the sum of its proper divisors (299652465024).

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

133620811776 is a wasteful number, since it uses less digits than its factorization.

133620811776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 133620811776 in words is "one hundred thirty-three billion, six hundred twenty million, eight hundred eleven thousand, seven hundred seventy-six".