133516350 has 216 divisors, whose sum is σ = 417337128. Its totient is φ = 31492800.

The previous prime is 133516337. The next prime is 133516391. The reversal of 133516350 is 53615331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 3608532 + ... + 3608568.

Almost surely, 2^133516350 is an apocalyptic number.

133516350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133516350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208668564).

133516350 is an abundant number, since it is smaller than the sum of its proper divisors (283820778).

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

133516350 is an equidigital number, since it uses as much as digits as its factorization.

133516350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 133516350 is about 11554.9275203266. The cubic root of 133516350 is about 511.1065937254.

It can be divided in two parts, 13351 and 6350, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 133516350 in words is "one hundred thirty-three million, five hundred sixteen thousand, three hundred fifty".