133978395600 has 240 divisors, whose sum is σ = 544987559040. Its totient is φ = 30623616000.

The previous prime is 133978395539. The next prime is 133978395613. The reversal of 133978395600 is 6593879331.

133978395600 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 78 + 3 + 9 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 810501 + ... + 961700.

It is an arithmetic number, because the mean of its divisors is an integer number (2270781496).

Almost surely, 2^133978395600 is an apocalyptic number.

133978395600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133978395600 is an abundant number, since it is smaller than the sum of its proper divisors (411009163440).

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

133978395600 is a wasteful number, since it uses less digits than its factorization.

133978395600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772235 (or 1772218 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 133978395600 in words is "one hundred thirty-three billion, nine hundred seventy-eight million, three hundred ninety-five thousand, six hundred".