133910755200 has 480 divisors, whose sum is σ = 507552161160. Its totient is φ = 34741923840.

The previous prime is 133910755189. The next prime is 133910755201. The reversal of 133910755200 is 2557019331.

133910755200 is a `hidden beast` number, since 13 + 3 + 91 + 0 + 7 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133910755201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9583419 + ... + 9597381.

Almost surely, 2^133910755200 is an apocalyptic number.

133910755200 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 133910755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253776080580).

133910755200 is an abundant number, since it is smaller than the sum of its proper divisors (373641405960).

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

133910755200 is a wasteful number, since it uses less digits than its factorization.

133910755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14036 (or 14010 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 133910755200 in words is "one hundred thirty-three billion, nine hundred ten million, seven hundred fifty-five thousand, two hundred".