133249536 has 320 divisors, whose sum is σ = 483183360. Its totient is φ = 35831808.

The previous prime is 133249517. The next prime is 133249541. The reversal of 133249536 is 635942331.

It is a happy number.

133249536 is a `hidden beast` number, since 133 + 2 + 495 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 133249536.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7838200 + ... + 7838216.

It is an arithmetic number, because the mean of its divisors is an integer number (1509948).

Almost surely, 2^133249536 is an apocalyptic number.

133249536 is a gapful number since it is divisible by the number (16) 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 133249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241591680).

133249536 is an abundant number, since it is smaller than the sum of its proper divisors (349933824).

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

133249536 is an frugal number, since it uses more digits than its factorization.

133249536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 29 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 133249536 is about 11543.3762825267. The cubic root of 133249536 is about 510.7659080221.

The spelling of 133249536 in words is "one hundred thirty-three million, two hundred forty-nine thousand, five hundred thirty-six".