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133937929136 = 24111396778087
BaseRepresentation
bin111110010111101010…
…0101001101110110000
3110210201100211202212002
41330233110221232300
54143301102213021
6141310310353132
712451051420214
oct1745724515660
9423640752762
10133937929136
1151891518620
1221b5b65b7a8
13c8269a280b
1466a84a2944
15373d92750b
hex1f2f529bb0

133937929136 has 80 divisors (see below), whose sum is σ = 285589221120. Its totient is φ = 60346141440.

The previous prime is 133937929117. The next prime is 133937929183. The reversal of 133937929136 is 631929739331.

133937929136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1339379291362 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16558085 + ... + 16566171.

It is an arithmetic number, because the mean of its divisors is an integer number (3569865264).

Almost surely, 2133937929136 is an apocalyptic number.

133937929136 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 133937929136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142794610560).

133937929136 is an abundant number, since it is smaller than the sum of its proper divisors (151651291984).

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

133937929136 is a wasteful number, since it uses less digits than its factorization.

133937929136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8922 (or 8916 counting only the distinct ones).

The product of its digits is 4960116, while the sum is 56.

The spelling of 133937929136 in words is "one hundred thirty-three billion, nine hundred thirty-seven million, nine hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 139 176 278 556 677 1112 1354 1529 2224 2708 3058 5416 6116 7447 8087 10832 12232 14894 16174 24464 29788 32348 59576 64696 88957 94103 119152 129392 177914 188206 355828 376412 711656 752824 1035133 1124093 1423312 1505648 2070266 2248186 4140532 4496372 5474899 8281064 8992744 10949798 12365023 16562128 17985488 21899596 24730046 43799192 49460092 60223889 87598384 98920184 120447778 197840368 240895556 481791112 761010961 963582224 1522021922 3044043844 6088087688 8371120571 12176175376 16742241142 33484482284 66968964568 133937929136