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133749056 = 267192827
BaseRepresentation
bin1111111100011…
…01100101000000
3100022200011012202
413332031211000
5233214432211
621134412332
73212563640
oct776154500
9308604182
10133749056
1169552711
12389610a8
132192c06c
1413a98520
15bb1e53b
hex7f8d940

133749056 has 84 divisors (see below), whose sum is σ = 320515488. Its totient is φ = 54238464.

The previous prime is 133749017. The next prime is 133749061. The reversal of 133749056 is 650947331.

It is a happy number.

It is a super-2 number, since 2×1337490562 = 35777619961782272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161315 + ... + 162141.

Almost surely, 2133749056 is an apocalyptic number.

133749056 is a gapful number since it is divisible by the number (16) 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 133749056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160257744).

133749056 is an abundant number, since it is smaller than the sum of its proper divisors (186766432).

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

133749056 is an equidigital number, since it uses as much as digits as its factorization.

133749056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 133749056 is about 11564.9926934694. The cubic root of 133749056 is about 511.4033577271.

The spelling of 133749056 in words is "one hundred thirty-three million, seven hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 361 448 532 608 722 827 1064 1216 1444 1654 2128 2527 2888 3308 4256 5054 5776 5789 6616 8512 10108 11552 11578 13232 15713 20216 23104 23156 26464 31426 40432 46312 52928 62852 80864 92624 109991 125704 161728 185248 219982 251408 298547 370496 439964 502816 597094 879928 1005632 1194188 1759856 2089829 2388376 3519712 4179658 4776752 7039424 8359316 9553504 16718632 19107008 33437264 66874528 133749056