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133454112 = 25311432939
BaseRepresentation
bin1111111010001…
…01100100100000
3100022010011121220
413331011210200
5233131012422
621124215040
73210225021
oct775054440
9308104556
10133454112
1169371060
123883a480
1321857a3c
1413a1cc48
15bab1e5c
hex7f45920

133454112 has 96 divisors (see below), whose sum is σ = 391184640. Its totient is φ = 39486720.

The previous prime is 133454107. The next prime is 133454117. The reversal of 133454112 is 211454331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133454107) and next prime (133454117).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (133454117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43939 + ... + 46877.

It is an arithmetic number, because the mean of its divisors is an integer number (4074840).

Almost surely, 2133454112 is an apocalyptic number.

133454112 is a gapful number since it is divisible by the number (12) 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 133454112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195592320).

133454112 is an abundant number, since it is smaller than the sum of its proper divisors (257730528).

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

133454112 is a wasteful number, since it uses less digits than its factorization.

133454112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2998 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 133454112 is about 11552.2340696508. The cubic root of 133454112 is about 511.0271647611.

The spelling of 133454112 in words is "one hundred thirty-three million, four hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 66 86 88 96 129 132 172 176 258 264 344 352 473 516 528 688 946 1032 1056 1376 1419 1892 2064 2838 2939 3784 4128 5676 5878 7568 8817 11352 11756 15136 17634 22704 23512 32329 35268 45408 47024 64658 70536 94048 96987 126377 129316 141072 193974 252754 258632 282144 379131 387948 505508 517264 758262 775896 1011016 1034528 1390147 1516524 1551792 2022032 2780294 3033048 3103584 4044064 4170441 5560588 6066096 8340882 11121176 12132192 16681764 22242352 33363528 44484704 66727056 133454112