133953000 has 64 divisors (see below), whose sum is σ = 417942720. Its totient is φ = 35720000.

The previous prime is 133952999. The next prime is 133953007. The reversal of 133953000 is 359331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (133953007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19326 + ... + 25325.

It is an arithmetic number, because the mean of its divisors is an integer number (6530355).

Almost surely, 2^133953000 is an apocalyptic number.

133953000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133953000 is an abundant number, since it is smaller than the sum of its proper divisors (283989720).

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

133953000 is a wasteful number, since it uses less digits than its factorization.

133953000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44675 (or 44661 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 24.

The square root of 133953000 is about 11573.8066339472. The cubic root of 133953000 is about 511.6631593847.

The spelling of 133953000 in words is "one hundred thirty-three million, nine hundred fifty-three thousand".