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133850112 = 21031117233
BaseRepresentation
bin1111111101001…
…10010000000000
3100022212021211120
413332212100000
5233231200422
621140512240
73213464364
oct776462000
9308767746
10133850112
1169611630
12389ab680
1321966066
1413ac32a4
15bb3e45c
hex7fa6400

133850112 has 176 divisors, whose sum is σ = 413854272. Its totient is φ = 38010880.

The previous prime is 133850107. The next prime is 133850113. The reversal of 133850112 is 211058331.

It is a tau number, because it is divible by the number of its divisors (176).

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 (133850113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574348 + ... + 574580.

Almost surely, 2133850112 is an apocalyptic number.

133850112 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 133850112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206927136).

133850112 is an abundant number, since it is smaller than the sum of its proper divisors (280004160).

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

133850112 is a wasteful number, since it uses less digits than its factorization.

133850112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 133850112 is about 11569.3609157982. The cubic root of 133850112 is about 511.5321246602.

The spelling of 133850112 in words is "one hundred thirty-three million, eight hundred fifty thousand, one hundred twelve".