133856997120 has 1584 divisors, whose sum is σ = 625685340672. Its totient is φ = 26605117440.

The previous prime is 133856997089. The next prime is 133856997217. The reversal of 133856997120 is 21799658331.

133856997120 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 569 + 9 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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 polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 5819869429 + ... + 5819869451.

Almost surely, 2^133856997120 is an apocalyptic number.

133856997120 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 133856997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312842670336).

133856997120 is an abundant number, since it is smaller than the sum of its proper divisors (491828343552).

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

133856997120 is an frugal number, since it uses more digits than its factorization.

133856997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 133856997120 in words is "one hundred thirty-three billion, eight hundred fifty-six million, nine hundred ninety-seven thousand, one hundred twenty".