133951104 has 256 divisors, whose sum is σ = 465120000. Its totient is φ = 37933056.

The previous prime is 133951099. The next prime is 133951117. The reversal of 133951104 is 401159331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1185352 + ... + 1185464.

It is an arithmetic number, because the mean of its divisors is an integer number (1816875).

Almost surely, 2^133951104 is an apocalyptic number.

133951104 is a gapful number since it is divisible by the number (14) 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 133951104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232560000).

133951104 is an abundant number, since it is smaller than the sum of its proper divisors (331168896).

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

133951104 is an equidigital number, since it uses as much as digits as its factorization.

133951104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 133951104 is about 11573.7247245647. The cubic root of 133951104 is about 511.6607453093.

The spelling of 133951104 in words is "one hundred thirty-three million, nine hundred fifty-one thousand, one hundred four".