133277114880 has 1200 divisors, whose sum is σ = 598599734040. Its totient is φ = 28092137472.

The previous prime is 133277114857. The next prime is 133277114881. The reversal of 133277114880 is 88411772331.

133277114880 is a `hidden beast` number, since 133 + 27 + 7 + 11 + 488 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70280130816 + 62996984064 = 265104^2 + 250992^2 .

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

It is not an unprimeable number, because it can be changed into a prime (133277114881) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 132087816 + ... + 132088824.

Almost surely, 2^133277114880 is an apocalyptic number.

133277114880 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 133277114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299299867020).

133277114880 is an abundant number, since it is smaller than the sum of its proper divisors (465322619160).

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

133277114880 is a wasteful number, since it uses less digits than its factorization.

133277114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 133277114880 in words is "one hundred thirty-three billion, two hundred seventy-seven million, one hundred fourteen thousand, eight hundred eighty".