133774341120 has 528 divisors, whose sum is σ = 531388885248. Its totient is φ = 30482104320.

The previous prime is 133774341089. The next prime is 133774341179. The reversal of 133774341120 is 21143477331.

133774341120 is a `hidden beast` number, since 1 + 33 + 77 + 434 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206760637 + ... + 206761283.

Almost surely, 2^133774341120 is an apocalyptic number.

133774341120 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 133774341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265694442624).

133774341120 is an abundant number, since it is smaller than the sum of its proper divisors (397614544128).

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

133774341120 is a wasteful number, since it uses less digits than its factorization.

133774341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 133774341120 in words is "one hundred thirty-three billion, seven hundred seventy-four million, three hundred forty-one thousand, one hundred twenty".