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134991360 = 29355731
BaseRepresentation
bin10000000101111…
…00111000000000
3100102000021100000
420002330320000
5234024210420
621221200000
73226256550
oct1002747000
9312007300
10134991360
116a221009
1239260000
1321c7565a
1413cdd160
15bcb7690
hex80bce00

134991360 has 480 divisors, whose sum is σ = 571963392. Its totient is φ = 29859840.

The previous prime is 134991359. The next prime is 134991397. The reversal of 134991360 is 63199431.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4354545 + ... + 4354575.

Almost surely, 2134991360 is an apocalyptic number.

134991360 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 134991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285981696).

134991360 is an abundant number, since it is smaller than the sum of its proper divisors (436972032).

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

134991360 is an frugal number, since it uses more digits than its factorization.

134991360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 134991360 is about 11618.5782262719. The cubic root of 134991360 is about 512.9818399235.

The spelling of 134991360 in words is "one hundred thirty-four million, nine hundred ninety-one thousand, three hundred sixty".