133841756160 has 1344 divisors, whose sum is σ = 587372228352. Its totient is φ = 28538044416.

The previous prime is 133841756137. The next prime is 133841756171. The reversal of 133841756160 is 61657148331.

133841756160 is a `hidden beast` number, since 1 + 3 + 3 + 84 + 1 + 7 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×133841756160³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1184440264 + ... + 1184440376.

It is an arithmetic number, because the mean of its divisors is an integer number (437032908).

Almost surely, 2^133841756160 is an apocalyptic number.

133841756160 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 133841756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293686114176).

133841756160 is an abundant number, since it is smaller than the sum of its proper divisors (453530472192).

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

133841756160 is an equidigital number, since it uses as much as digits as its factorization.

133841756160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 133841756160 in words is "one hundred thirty-three billion, eight hundred forty-one million, seven hundred fifty-six thousand, one hundred sixty".