133537000 has 64 divisors (see below), whose sum is σ = 320196240. Its totient is φ = 52096000.

The previous prime is 133536961. The next prime is 133537003. The reversal of 133537000 is 735331.

133537000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1240996 + 132296004 = 1114^2 + 11502^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133537003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39372 + ... + 42628.

Almost surely, 2^133537000 is an apocalyptic number.

133537000 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 133537000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160098120).

133537000 is an abundant number, since it is smaller than the sum of its proper divisors (186659240).

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

133537000 is a wasteful number, since it uses less digits than its factorization.

133537000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 22.

The square root of 133537000 is about 11555.8210439588. The cubic root of 133537000 is about 511.1329420767.

The spelling of 133537000 in words is "one hundred thirty-three million, five hundred thirty-seven thousand".