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134132040 = 2332571731101
BaseRepresentation
bin1111111111010…
…11000101001000
3100100101121120100
413333223011020
5233314211130
621150525400
73216050340
oct777530510
9310347510
10134132040
1169794429
1238b06860
1321a34493
1413b57d20
15bb97c60
hex7feb148

134132040 has 384 divisors, whose sum is σ = 549918720. Its totient is φ = 27648000.

The previous prime is 134131999. The next prime is 134132087. The reversal of 134132040 is 40231431.

134132040 is a `hidden beast` number, since 1 + 341 + 320 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1327990 + ... + 1328090.

It is an arithmetic number, because the mean of its divisors is an integer number (1432080).

Almost surely, 2134132040 is an apocalyptic number.

134132040 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 134132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274959360).

134132040 is an abundant number, since it is smaller than the sum of its proper divisors (415786680).

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

134132040 is a wasteful number, since it uses less digits than its factorization.

134132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 134132040 is about 11581.5387578681. The cubic root of 134132040 is about 511.8910188782.

Adding to 134132040 its reverse (40231431), we get a palindrome (174363471).

The spelling of 134132040 in words is "one hundred thirty-four million, one hundred thirty-two thousand, forty".