133097148 has 48 divisors (see below), whose sum is σ = 365369760. Its totient is φ = 41755392.

The previous prime is 133097053. The next prime is 133097149. The reversal of 133097148 is 841790331.

It is a happy number.

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 (133097149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34411 + ... + 38082.

It is an arithmetic number, because the mean of its divisors is an integer number (7611870).

Almost surely, 2^133097148 is an apocalyptic number.

133097148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133097148 is an abundant number, since it is smaller than the sum of its proper divisors (232272612).

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

133097148 is a wasteful number, since it uses less digits than its factorization.

133097148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72523 (or 72515 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 133097148 is about 11536.7737257866. The cubic root of 133097148 is about 510.5711248914.

The spelling of 133097148 in words is "one hundred thirty-three million, ninety-seven thousand, one hundred forty-eight".