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133545540 = 223517130927
BaseRepresentation
bin1111111010110…
…11111001000100
3100022021211001010
413331123321010
5233141424130
621130202220
73211055412
oct775337104
9308254033
10133545540
1169423817
1238883370
132188a53b
1413a442b2
15bace0b0
hex7f5be44

133545540 has 48 divisors (see below), whose sum is σ = 395926272. Its totient is φ = 33517056.

The previous prime is 133545527. The next prime is 133545541. The reversal of 133545540 is 45545331.

It is a super-2 number, since 2×1335455402 = 35668822507783200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 133545498 and 133545507.

It is not an unprimeable number, because it can be changed into a prime (133545541) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64444 + ... + 66483.

It is an arithmetic number, because the mean of its divisors is an integer number (8248464).

Almost surely, 2133545540 is an apocalyptic number.

133545540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133545540 is an abundant number, since it is smaller than the sum of its proper divisors (262380732).

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

133545540 is a wasteful number, since it uses less digits than its factorization.

133545540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130956 (or 130954 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 133545540 is about 11556.1905487925. The cubic root of 133545540 is about 511.1438378890.

The spelling of 133545540 in words is "one hundred thirty-three million, five hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 130927 261854 392781 523708 654635 785562 1309270 1571124 1963905 2225759 2618540 3927810 4451518 6677277 7855620 8903036 11128795 13354554 22257590 26709108 33386385 44515180 66772770 133545540