133051248 has 280 divisors, whose sum is σ = 453761136. Its totient is φ = 37324800.

The previous prime is 133051229. The next prime is 133051267. The reversal of 133051248 is 842150331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133051229) and next prime (133051267).

It is a super-4 number, since 4×133051248⁴ (a number of 34 digits) contains 4444 as substring.

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2181138 + ... + 2181198.

Almost surely, 2^133051248 is an apocalyptic number.

133051248 is a gapful number since it is divisible by the number (18) 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 133051248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226880568).

133051248 is an abundant number, since it is smaller than the sum of its proper divisors (320709888).

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

133051248 is a wasteful number, since it uses less digits than its factorization.

133051248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 133051248 is about 11534.7842632621. The cubic root of 133051248 is about 510.5124261402.

The spelling of 133051248 in words is "one hundred thirty-three million, fifty-one thousand, two hundred forty-eight".