133271040 has 320 divisors, whose sum is σ = 507538944. Its totient is φ = 29196288.

The previous prime is 133271023. The next prime is 133271053. The reversal of 133271040 is 40172331.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×133271040² = 35522340205363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 133270998 and 133271016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1989087 + ... + 1989153.

Almost surely, 2^133271040 is an apocalyptic number.

133271040 is a gapful number since it is divisible by the number (10) 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 133271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253769472).

133271040 is an abundant number, since it is smaller than the sum of its proper divisors (374267904).

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

133271040 is an equidigital number, since it uses as much as digits as its factorization.

133271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 133271040 is about 11544.3076882072. The cubic root of 133271040 is about 510.7933825875.

The spelling of 133271040 in words is "one hundred thirty-three million, two hundred seventy-one thousand, forty".