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134087616 = 26331347127
BaseRepresentation
bin1111111111000…
…00001111000000
3100100022100122000
413333200033000
5233311300431
621145544000
73215503665
oct777401700
9310270560
10134087616
1169764013
1238aa5000
1321a1a1b0
1413b45a6c
15bb899e6
hex7fe03c0

134087616 has 224 divisors, whose sum is σ = 436961280. Its totient is φ = 40061952.

The previous prime is 134087609. The next prime is 134087621. The reversal of 134087616 is 616780431.

134087616 is a `hidden beast` number, since 1 + 34 + 0 + 8 + 7 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055745 + ... + 1055871.

It is an arithmetic number, because the mean of its divisors is an integer number (1950720).

Almost surely, 2134087616 is an apocalyptic number.

134087616 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 134087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218480640).

134087616 is an abundant number, since it is smaller than the sum of its proper divisors (302873664).

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

134087616 is a wasteful number, since it uses less digits than its factorization.

134087616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 134087616 is about 11579.6207191773. The cubic root of 134087616 is about 511.8345005460.

The spelling of 134087616 in words is "one hundred thirty-four million, eighty-seven thousand, six hundred sixteen".