133149744 has 200 divisors, whose sum is σ = 474726560. Its totient is φ = 35085312.

The previous prime is 133149719. The next prime is 133149749. The reversal of 133149744 is 447941331.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133149699 and 133149708.

It is not an unprimeable number, because it can be changed into a prime (133149749) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117372 + ... + 118500.

Almost surely, 2^133149744 is an apocalyptic number.

133149744 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 133149744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237363280).

133149744 is an abundant number, since it is smaller than the sum of its proper divisors (341576816).

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

133149744 is a wasteful number, since it uses less digits than its factorization.

133149744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1154 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 133149744 is about 11539.0529940719. The cubic root of 133149744 is about 510.6383701649.

The spelling of 133149744 in words is "one hundred thirty-three million, one hundred forty-nine thousand, seven hundred forty-four".