133214004 has 192 divisors, whose sum is σ = 438036480. Its totient is φ = 34007040.

The previous prime is 133213981. The next prime is 133214021. The reversal of 133214004 is 400412331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 690132 + ... + 690324.

It is an arithmetic number, because the mean of its divisors is an integer number (2281440).

Almost surely, 2^133214004 is an apocalyptic number.

133214004 is a gapful number since it is divisible by the number (14) 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 133214004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219018240).

133214004 is an abundant number, since it is smaller than the sum of its proper divisors (304822476).

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

133214004 is a wasteful number, since it uses less digits than its factorization.

133214004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 133214004 is about 11541.8371154682. The cubic root of 133214004 is about 510.7205041175.

Adding to 133214004 its reverse (400412331), we get a palindrome (533626335).

The spelling of 133214004 in words is "one hundred thirty-three million, two hundred fourteen thousand, four".