133061072 has 40 divisors (see below), whose sum is σ = 275607360. Its totient is φ = 62078720.

The previous prime is 133061063. The next prime is 133061081. The reversal of 133061072 is 270160331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133061063) and next prime (133061081).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10679 + ... + 19497.

It is an arithmetic number, because the mean of its divisors is an integer number (6890184).

Almost surely, 2^133061072 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 133061072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680).

133061072 is an abundant number, since it is smaller than the sum of its proper divisors (142546288).

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

133061072 is a wasteful number, since it uses less digits than its factorization.

133061072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8891 (or 8885 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 133061072 is about 11535.2100977832. The cubic root of 133061072 is about 510.5249905987.

The spelling of 133061072 in words is "one hundred thirty-three million, sixty-one thousand, seventy-two".