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133121904 = 24319145967
BaseRepresentation
bin1111110111101…
…00011101110000
3100021111021220220
413323310131300
5233034400104
621113133040
73204342336
oct773643560
9307437826
10133121904
1169164503
12386ba180
132176c776
1413973b56
15ba487d9
hex7ef4770

133121904 has 40 divisors (see below), whose sum is σ = 362000640. Its totient is φ = 42038208.

The previous prime is 133121899. The next prime is 133121929. The reversal of 133121904 is 409121331.

133121904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72072 + ... + 73895.

It is an arithmetic number, because the mean of its divisors is an integer number (9050016).

Almost surely, 2133121904 is an apocalyptic number.

It is an amenable number.

133121904 is an abundant number, since it is smaller than the sum of its proper divisors (228878736).

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

133121904 is a wasteful number, since it uses less digits than its factorization.

133121904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145997 (or 145991 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 133121904 is about 11537.8465928439. The cubic root of 133121904 is about 510.6027782498.

The spelling of 133121904 in words is "one hundred thirty-three million, one hundred twenty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 145967 291934 437901 583868 875802 1167736 1751604 2335472 2773373 3503208 5546746 7006416 8320119 11093492 16640238 22186984 33280476 44373968 66560952 133121904