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133375680 = 2633543359
BaseRepresentation
bin1111111001100…
…10011011000000
3100021222012001000
413330302123000
5233121010210
621122412000
73206450244
oct774623300
9307865030
10133375680
1169318139
1238801000
132182b129
14139dc424
15ba98ac0
hex7f326c0

133375680 has 224 divisors, whose sum is σ = 482803200. Its totient is φ = 34642944.

The previous prime is 133375633. The next prime is 133375681. The reversal of 133375680 is 86573331.

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

It is not an unprimeable number, because it can be changed into a prime (133375681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371341 + ... + 371699.

Almost surely, 2133375680 is an apocalyptic number.

133375680 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 133375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241401600).

133375680 is an abundant number, since it is smaller than the sum of its proper divisors (349427520).

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

133375680 is a wasteful number, since it uses less digits than its factorization.

133375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 133375680 is about 11548.8389026776. The cubic root of 133375680 is about 510.9270336211.

The spelling of 133375680 in words is "one hundred thirty-three million, three hundred seventy-five thousand, six hundred eighty".