133992144 has 240 divisors, whose sum is σ = 458762304. Its totient is φ = 37324800.

The previous prime is 133992143. The next prime is 133992149. The reversal of 133992144 is 441299331.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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.

Its product of digits (23328) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 133992099 and 133992108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133992143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555864 + ... + 556104.

Almost surely, 2^133992144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133992144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229381152).

133992144 is an abundant number, since it is smaller than the sum of its proper divisors (324770160).

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

133992144 is a wasteful number, since it uses less digits than its factorization.

133992144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 133992144 is about 11575.4975702991. The cubic root of 133992144 is about 511.7129942573.

The spelling of 133992144 in words is "one hundred thirty-three million, nine hundred ninety-two thousand, one hundred forty-four".