133177540608 has 390 divisors, whose sum is σ = 462849828111. Its totient is φ = 38050725888.

The previous prime is 133177540543. The next prime is 133177540633. The reversal of 133177540608 is 806045771331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

133177540608 is a `hidden beast` number, since 1 + 3 + 31 + 7 + 7 + 5 + 4 + 0 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66588770304 + 66588770304 = 258048^2 + 258048^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=258048.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19025362941 + ... + 19025362947.

Almost surely, 2^133177540608 is an apocalyptic number.

133177540608 is a gapful number since it is divisible by the number (18) 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 133177540608

133177540608 is an abundant number, since it is smaller than the sum of its proper divisors (329672287503).

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

133177540608 is an frugal number, since it uses more digits than its factorization.

133177540608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 133177540608 in words is "one hundred thirty-three billion, one hundred seventy-seven million, five hundred forty thousand, six hundred eight".