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134769960 = 233351329331
BaseRepresentation
bin10000000100001…
…10110100101000
3100101121000122000
420002012310220
5234000114320
621212331000
73224345223
oct1002066450
9311530560
10134769960
116a08a736
1239173a60
1321bc8950
1413c825ba
15bc71c90
hex8086d28

134769960 has 256 divisors, whose sum is σ = 501984000. Its totient is φ = 31933440.

The previous prime is 134769953. The next prime is 134769961. The reversal of 134769960 is 69967431.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134769961) 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, 406995 + ... + 407325.

It is an arithmetic number, because the mean of its divisors is an integer number (1960875).

Almost surely, 2134769960 is an apocalyptic number.

134769960 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 134769960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250992000).

134769960 is an abundant number, since it is smaller than the sum of its proper divisors (367214040).

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

134769960 is a wasteful number, since it uses less digits than its factorization.

134769960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 134769960 is about 11609.0464724714. The cubic root of 134769960 is about 512.7012384411.

It can be divided in two parts, 13476 and 9960, that added together give a triangular number (23436 = T216).

The spelling of 134769960 in words is "one hundred thirty-four million, seven hundred sixty-nine thousand, nine hundred sixty".