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134001140 = 225713176171
BaseRepresentation
bin1111111110010…
…11000111110100
3100100010222000012
413333023013310
5233301014030
621144035352
73214663610
oct777130764
9310128005
10134001140
1169705049
1238a62b58
13219b9a20
1413b22340
15bb6e095
hex7fcb1f4

134001140 has 192 divisors, whose sum is σ = 377975808. Its totient is φ = 38707200.

The previous prime is 134001137. The next prime is 134001149. The reversal of 134001140 is 41100431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134001149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1887305 + ... + 1887375.

It is an arithmetic number, because the mean of its divisors is an integer number (1968624).

Almost surely, 2134001140 is an apocalyptic number.

134001140 is a gapful number since it is divisible by the number (10) 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 134001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

134001140 is an abundant number, since it is smaller than the sum of its proper divisors (243974668).

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

134001140 is a wasteful number, since it uses less digits than its factorization.

134001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 134001140 is about 11575.8861431858. The cubic root of 134001140 is about 511.7244458419.

Adding to 134001140 its reverse (41100431), we get a palindrome (175101571).

The spelling of 134001140 in words is "one hundred thirty-four million, one thousand, one hundred forty".