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133084152 = 233215112241
BaseRepresentation
bin1111110111010…
…11001111111000
3100021102101010200
413323223033320
5233032143102
621112242200
73204124305
oct773531770
9307371120
10133084152
1169139103
12386a0360
1321758526
14139640ac
15ba3c51c
hex7eeb3f8

133084152 has 48 divisors (see below), whose sum is σ = 362852880. Its totient is φ = 44064000.

The previous prime is 133084099. The next prime is 133084163. The reversal of 133084152 is 251480331.

It is a happy number.

It is a super-2 number, since 2×1330841522 = 35422783027118208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4752 + ... + 16992.

It is an arithmetic number, because the mean of its divisors is an integer number (7559435).

Almost surely, 2133084152 is an apocalyptic number.

133084152 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 133084152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181426440).

133084152 is an abundant number, since it is smaller than the sum of its proper divisors (229768728).

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

133084152 is a wasteful number, since it uses less digits than its factorization.

133084152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12404 (or 12397 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 133084152 is about 11536.2104696473. The cubic root of 133084152 is about 510.5545064579.

The spelling of 133084152 in words is "one hundred thirty-three million, eighty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1359 1812 2718 3624 5436 10872 12241 24482 36723 48964 73446 97928 110169 146892 220338 293784 440676 881352 1848391 3696782 5545173 7393564 11090346 14787128 16635519 22180692 33271038 44361384 66542076 133084152