133962000 has 160 divisors (see below), whose sum is σ = 438721920. Its totient is φ = 35161600.

The previous prime is 133961987. The next prime is 133962029. The reversal of 133962000 is 269331.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497866 + ... + 498134.

It is an arithmetic number, because the mean of its divisors is an integer number (2742012).

Almost surely, 2^133962000 is an apocalyptic number.

133962000 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 133962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

133962000 is an abundant number, since it is smaller than the sum of its proper divisors (304759920).

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

133962000 is a wasteful number, since it uses less digits than its factorization.

133962000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 133962000 is about 11574.1954364008. The cubic root of 133962000 is about 511.6746182927.

The spelling of 133962000 in words is "one hundred thirty-three million, nine hundred sixty-two thousand".