133077978 has 144 divisors (see below), whose sum is σ = 343918848. Its totient is φ = 38491200.

The previous prime is 133077907. The next prime is 133077979. The reversal of 133077978 is 879770331.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133077979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1822950 + ... + 1823022.

Almost surely, 2^133077978 is an apocalyptic number.

133077978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133077978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171959424).

133077978 is an abundant number, since it is smaller than the sum of its proper divisors (210840870).

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

133077978 is a wasteful number, since it uses less digits than its factorization.

133077978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 133077978 is about 11535.9428743384. The cubic root of 133077978 is about 510.5466111720.

The spelling of 133077978 in words is "one hundred thirty-three million, seventy-seven thousand, nine hundred seventy-eight".