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133135540 = 2257984263
BaseRepresentation
bin1111110111101…
…11110010110100
3100021111222121221
413323313302310
5233040314130
621113320124
73204430156
oct773676264
9307458557
10133135540
116917377a
1238706044
1321775a35
1413978ad6
15ba4c87a
hex7ef7cb4

133135540 has 24 divisors (see below), whose sum is σ = 283127040. Its totient is φ = 52579488.

The previous prime is 133135511. The next prime is 133135547. The reversal of 133135540 is 45531331.

It is a super-2 number, since 2×1331355402 = 35450144022183200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133135547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40552 + ... + 43711.

It is an arithmetic number, because the mean of its divisors is an integer number (11796960).

Almost surely, 2133135540 is an apocalyptic number.

133135540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133135540 is an abundant number, since it is smaller than the sum of its proper divisors (149991500).

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

133135540 is a wasteful number, since it uses less digits than its factorization.

133135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84351 (or 84349 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 133135540 is about 11538.4375025391. The cubic root of 133135540 is about 510.6202117489.

Adding to 133135540 its reverse (45531331), we get a palindrome (178666871).

The spelling of 133135540 in words is "one hundred thirty-three million, one hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1580 84263 168526 337052 421315 842630 1685260 6656777 13313554 26627108 33283885 66567770 133135540