133756352010 has 192 divisors, whose sum is σ = 359121185280. Its totient is φ = 34523228160.

The previous prime is 133756351957. The next prime is 133756352069. The reversal of 133756352010 is 10253657331.

133756352010 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 5 + 635 + 2 + 0 + 10 = 666.

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, 182477604 + ... + 182478336.

It is an arithmetic number, because the mean of its divisors is an integer number (1870422840).

Almost surely, 2^133756352010 is an apocalyptic number.

133756352010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133756352010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179560592640).

133756352010 is an abundant number, since it is smaller than the sum of its proper divisors (225364833270).

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

133756352010 is a wasteful number, since it uses less digits than its factorization.

133756352010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 133756352010 in words is "one hundred thirty-three billion, seven hundred fifty-six million, three hundred fifty-two thousand, ten".