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133074552 = 23313795399
BaseRepresentation
bin1111110111010…
…00111001111000
3100021101212222010
413323220321320
5233031341202
621112125520
73204054312
oct773507170
9307355863
10133074552
1169131976
12386968a0
1321754050
14139607b2
15ba3976c
hex7ee8e78

133074552 has 64 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 40420224.

The previous prime is 133074511. The next prime is 133074553. The reversal of 133074552 is 255470331.

133074552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133074553) 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, 21949 + ... + 27347.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2133074552 is an apocalyptic number.

133074552 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 133074552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

133074552 is an abundant number, since it is smaller than the sum of its proper divisors (229805448).

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

133074552 is a wasteful number, since it uses less digits than its factorization.

133074552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 133074552 is about 11535.7943809692. The cubic root of 133074552 is about 510.5422299119.

The spelling of 133074552 in words is "one hundred thirty-three million, seventy-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 474 632 948 1027 1896 2054 3081 4108 5399 6162 8216 10798 12324 16197 21596 24648 32394 43192 64788 70187 129576 140374 210561 280748 421122 426521 561496 842244 853042 1279563 1684488 1706084 2559126 3412168 5118252 5544773 10236504 11089546 16634319 22179092 33268638 44358184 66537276 133074552